| 1. |
- Abdallah, Nancy, et al.
(författare)
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Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four
- 2024
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Ingår i: Journal of symbolic computation. - 0747-7171 .- 1095-855X. ; 121, s. 102257-102257
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Tidskriftsartikel (refereegranskat)abstract
- In (Stanley, 1978), Stanley constructs an example of an Artinian Gorenstein (AG) ring A with non-unimodal H-vector (1,13,12,13,1). Migliore-Zanello show in (Migliore and Zanello, 2017) that for regularity r=4, Stanley's example has the smallest possible codimension c for an AG ring with non-unimodal H-vector.The weak Lefschetz property (WLP) has been much studied for AG rings; it is easy to show that an AG ring with non-unimodal H-vector fails to have WLP. In codimension c=3 it is conjectured that all AG rings have WLP. For c=4, Gondim shows in (Gondim, 2017) that WLP always holds for r≤4 and gives a family where WLP fails for any r≥7, building on Ikeda's example (Ikeda, 1996) of failure for r=5. In this note we study the minimal free resolution of A and relation to Lefschetz properties (both weak and strong) and Jordan type for c=4 and r≤6.
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| 2. |
- Abdallah, Nancy, et al.
(författare)
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Lefschetz properties of some codimension three Artinian Gorenstein algebras
- 2023
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Ingår i: Journal of Algebra. - : Elsevier BV. - 0021-8693 .- 1090-266X. ; 625, s. 28-45
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Tidskriftsartikel (refereegranskat)abstract
- Codimension two Artinian algebras have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent such results might extend to codimension three Artinian Gorenstein algebras. Despite much work, the strong Lefschetz property for codimension three Artinian Gorenstein algebra has remained largely mysterious; our results build on and strengthen some of the previous results. We here show that every standard-graded codimension three Artinian Gorenstein algebra A having maximum value of the Hilbert function at most six has the strong Lefschetz property, provided that the characteristic is zero. When the characteristic is greater than the socle degree of A, we show that A is almost strong Lefschetz, they are strong Lefschetz except in the extremal pair of degrees.
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| 3. |
- Abdallah, Nancy, et al.
(författare)
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Limits of graded Gorenstein algebras of Hilbert function $$(1,3^k,1)$$
- 2024
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Ingår i: European Journal of Mathematics. - 2199-675X .- 2199-6768. ; 10:1
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Tidskriftsartikel (refereegranskat)abstract
- Let R= k [x, y, z], the polynomial ring over a field k. Several of the authors previously classified nets of ternary conics and their specializations over an algebraically closed field, Abdallah et al. (Eur J Math 9(2), Art. No. 22, 2023). We here show that when k is algebraically closed, and considering the Hilbert function sequence T =(1,3(k),1), k >= 2 (i.e. T = (1, 3, 3, ... , 3, 1) where k is the multiplicity of 3), then the family GT parametrizing graded Artinian algebra quotients A = R/I of R having Hilbert function T is irreducible, and G(T) is the closure of the family Gor(T) of Artinian Gorenstein algebras of Hilbert function T. We then classify up to isomorphism the elements of these families Gor(T) and of G(T). Finally, we give examples of codimension 3 Gorenstein sequences, such as (1, 3, 5, 3, 1), for which G(T) has several irreducible components, one being the Zariski closure of Gor(T).
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| 4. |
- Abdallah, Nancy, et al.
(författare)
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Nets in P^2 and Alexander Duality
- 2023
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Ingår i: Discrete & Computational Geometry. - 0179-5376 .- 1432-0444.
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Tidskriftsartikel (refereegranskat)abstract
- A net in P^2 is a configuration of lines A and points X satisfying certain incidence properties. Nets appear in a variety of settings, ranging from quasigroups to combinatorial design to classification of Kac–Moody algebras to cohomology jump loci of hyperplane arrangements. For a matroid M and rank r, we associate a monomial ideal (a monomial variant of the Orlik–Solomon ideal) to the set of flats of M of rank ≤r. In the context of line arrangements in P^2, applying Alexander duality to the resulting ideal yields insight into the combinatorial structure of nets.
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| 5. |
- Abdallah, Nancy, et al.
(författare)
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Nets of conics and associated Artinian algebras of length 7
- 2023
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Ingår i: European Journal of Mathematics. - : Springer Science and Business Media LLC. - 2199-675X .- 2199-6768. ; 9:2
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Tidskriftsartikel (refereegranskat)abstract
- We classify the orbits of nets of conics under the action of the projective linear group and we determine the specializations of these orbits, using geometric and algebraic methods. We study related geometric questions, as the parametrization of planar cubics. We show that Artinian algebras of Hilbert function H=(1,3,3,0) determined by nets, can be smoothed—deformed to a direct sum of fields; and that algebras of Hilbert function H=(1,r,2,0), determined by pencils of quadrics, can also be smoothed. This portion is a translation and update of a 1977 version, a typescript by the second two authors that was distributed as a preprint of University of Paris VII. In a new Historical Appendix A we describe related work prior to 1977. In an Update Appendix B we survey some developments since 1977 concerning nets of conics, related geometry, and deformations of Artinian algebras of small length.
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| 6. |
- Abelsson, Anna, 1971-, et al.
(författare)
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Empowerment in the perioperative dialog
- 2021
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Ingår i: Nursing Open. - : John Wiley & Sons. - 2054-1058. ; 8:1, s. 96-103
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Tidskriftsartikel (refereegranskat)abstract
- Aim: To describe how the nurse anaesthetist empowers the patient in the perioperative dialogue. Design: A qualitative descriptive design with interviews with 12 nurse anaesthetist (NA). Method: A hermeneutic text interpretation with a foundation in Gibson's empowerment model. Result: The results highlight Gibson's nursing domain: Helper, Supporter, Counsellor, Educator, Resource Consultant, Resource Mobilizer, Facilitator, Enabler and Advocate. The overall understanding is revealed as a relationship can be built through closeness between the patient and the NA. The NA helps the patient master the situation by talking to and touching the patient. The patient is helped to find their own strengths and to cope with their fears. The patients decide over their own bodies. When the patients do not want to or cope with protecting themselves, the NA protects and represents the patient.
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| 7. |
- Abelsson, Anna, 1971-, et al.
(författare)
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Enhanced self-assessment of CPR by low-dose, high-frequency training
- 2021
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Ingår i: International Journal of Emergency Services. - : Emerald Group Publishing Limited. - 2047-0894 .- 2047-0908. ; 10:1, s. 93-100
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Tidskriftsartikel (refereegranskat)abstract
- Purpose: The purpose was to investigate what effect an intervention of low-dose, high-frequency cardiopulmonary resuscitation (CPR) training with feedback for one month would have on professionals' subjective self-assessment skill of CPR.Design/methodology/approach: This study had a quantitative approach. In total, 38 firefighters performed CPR for two minutes on a Resusci Anne QCPR. They then self-assessed their CPR through four multiple-choice questions regarding compression rate, depth, recoil and ventilation volume. After one month of low-dose, high-frequency training with visual feedback, the firefighters once more performed CPR and self-assessed their CPR.Findings: With one month of low-dose, high-frequency training with visual feedback, the level of self-assessment was 87% (n = 33) correct self-assessment of compression rate, 95% (n = 36) correct self-assessment of compression depth, 68% (n = 26) correct self-assessment of recoil and 87% (n = 33) correct self-assessment of ventilations volume. The result shows a reduced number of firefighters who overestimate their ability to perform CPR.Originality/value: With low-dose, high-frequency CPR training with visual feedback for a month, the firefighters develop a good ability to self-assess their CPR to be performed within the guidelines. By improving their ability to self-assess their CPR quality, firefighters can self-regulate their compression and ventilation quality. © 2020, Emerald Publishing Limited.
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| 8. |
- Abelsson, Anna, 1971-, et al.
(författare)
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The nurse anesthetist perioperative dialog
- 2020
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Ingår i: BMC Nursing. - : BioMed Central. - 1472-6955 .- 1472-6955. ; 19:1
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Tidskriftsartikel (refereegranskat)abstract
- Background In the perioperative dialogue, pre-, intra- and postoperatively, the patient shares their history. In the dialogue, the nurse anesthetist (NA) gets to witness the patient's experiences and can alleviate the patients' suffering while waiting for, or undergoing surgery. The aim of this study was to describe the nurse anesthetist's experiences of the perioperative dialogue. Methods The study had a qualitative design. Interviews were conducted with 12 NA and analyzed with interpretive content analysis. The methods were conducted in accordance with the COREQ guidelines. Results In the result, three categories emerge: A mutual meeting (the preoperative dialogue) where the patient and the NA through contact create a relationship. The NA is present and listens to the patient, to give the patient confidence in the NA. In the category, On the basis of the patient's needs and wishes (the intraoperative dialogue), the body language of the NA, as well as the ability to read the body language of the patient, is described as important. In the category, To create a safe situation (the postoperative dialogue) the NA ensures that the patient has knowledge of what has happened and of future care in order to restore the control to the patient. Conclusion The patient is met as a person with their own needs and wishes. It includes both a physical and a mental meeting. In a genuine relationship, the NA can confirm and unreservedly talk with the patient. When the patients leave their body and life in the hands of the NA, they can help the patients to find their inherent powers, which allows for participation in their care. Understanding the patient is possible when entering in a genuine relationship with the patient and confirm the patient. The perioperative dialogue forms a safety for the patients in the operating environment.
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| 9. |
- Abelsson, Anna, 1971-, et al.
(författare)
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To strengthen self-confidence as a step in improving prehospital youth laymen basic life support
- 2020
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Ingår i: BMC Emergency Medicine. - : NLM (Medline). - 1471-227X .- 1471-227X. ; 20:1
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Tidskriftsartikel (refereegranskat)abstract
- BACKGROUND:A rapid emergency care intervention can prevent the cardiac arrest from resulting in death. In order for Cardio Pulmonary Resuscitation (CPR) to have any real significance for the survival of the patient, it requires an educational effort educating the large masses of people of whom the youth is an important part. The aim of this study was to investigate the effect of a two-hour education intervention for youth regarding their self-confidence in performing Adult Basic Life Support (BLS).METHODS:A quantitative approach where data consist of a pre- and post-rating of seven statements by 50 participants during an intervention by means of BLS theoretical and practical education.RESULTS:The two-hour training resulted in a significant improvement in the participants' self-confidence in identifying a cardiac arrest (pre 51, post 90), to perform compressions (pre 65, post 91) and ventilations (pre 64, post 86) and use a defibrillator (pre 61, post 81). In addition, to have the self-confidence to be able to perform, and to actually perform, first aid to a person suffering from a traumatic event was significantly improved (pre 54, post 89).CONCLUSION:By providing youth with short education sessions in CPR, their self-confidence can be improved. This can lead to an increased will and ability to identify a cardiac arrest and to begin compressions and ventilations. This also includes having the confidence using a defibrillator. Short education sessions in first aid can also lead to increased self-confidence, resulting in young people considering themselves able to perform first aid to a person suffering from a traumatic event. This, in turn, results in young people perceiveing themselves as willing to commence an intervention during a traumatic event. In summary, when the youth believe in their own knowledge, they will dare to intervene.
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| 10. |
- Abraham, Getahun Yacob, 1958-
(författare)
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A post-colonial perspective on African education systems
- 2020
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Ingår i: African Journal of Education and Practice. - : International Peer Reviewed Journals and Books (IPRJB). - 2519-0296. ; 6:5, s. 40-54
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Tidskriftsartikel (refereegranskat)abstract
- Purpose: The purpose of this article is to discuss about precolonial and colonial education and the development of the education systems in the postcolonial Africa. The paper will deal with the questions whether there were any education systems in precolonial Africa and motives for introducing the colonial education systems. Further the relation of the colonial education systems with the needs of the local society, the postcolonial education systems and their future will be analysed. Methodology: Postcolonial perspective is a theoretical frame for the study. A desk-research was conducted to identify and select the relevant literature. Content analysis was used as a method to understand, analyse and interpret the literature. Findings: The results of the literature review show that there were socialization mechanisms before colonialism in African societies. Education introduced in its modern form by missionaries was supposed to serve mainly religious purposes and to train low level functionaries by colonial states. Instead of focusing on local realities education was used to teach the glories of the colonial countries, spread their language and culture as well as introduce a new way of life by condemning all that was native. After independence the inherited colonial education systems continued isolating the masses who had no access to the colonial languages. Unique contribution to theory, practice and policy: Findings of this study shows some limitations in African education systems. It is necessary that education policy makers and other concerned stakeholders´ to increase the use of local languages to reach the society at large, to focus on contents relevant to their contexts, to provide both theoretical and skill-based education useful for development of society and to aim towards educating productive, conscious, critical and democratic citizens.
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