| 1. |
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| 2. |
- Agbor, Dieudonné, et al.
(author)
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On the Modulus of Continuity of Mappings Between Euclidean Spaces
- 2013
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In: Mathematica Scandinavica. - : Det Kgl. Bibliotek/Royal Danish Library. - 0025-5521 .- 1903-1807. ; 112:1, s. 147-160
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Journal article (peer-reviewed)abstract
- Let f be a function from R-P to R-q and let Lambda be a finite set of pairs (theta, eta) is an element of R-P x R-q. Assume that the real-valued function (eta, f(x)) is Lipschitz continuous in the direction theta for every (theta, eta) is an element of Lambda. Necessary and sufficient conditions on Lambda are given for this assumption to imply each of the following: (1) that f is Lipschitz continuous, and (2) that f is continuous with modulus of continuity <= C epsilon vertical bar log epsilon vertical bar.
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| 3. |
- Aghapournahr, Moharram, et al.
(author)
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COFINITENESS AND COASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES
- 2009
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In: Mathematica Scandinavica. - 0025-5521 .- 1903-1807. ; 105:2, s. 161-170
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Journal article (peer-reviewed)abstract
- Let R be a noetherian ring, alpha an ideal of R such that dim R/alpha = 1 and M a finite R-module. We will study cofiniteness and some other properties of the local cohomology modules H-alpha(i)(M). For an arbitrary ideal alpha and an R-module M (not necessarily finite), we will characterize alpha-cofinite artinian local cohomology modules. Certain sets of coassociated primes of top local cohomology modules over local rings are characterized.
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| 4. |
- Aigner, Mats, et al.
(author)
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THE ALGEBRA OF SEMIGROUPS OF SETS
- 2015
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In: Mathematica Scandinavica. - : MATEMATISK INST. - 0025-5521 .- 1903-1807. ; 116:2, s. 161-170
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Journal article (peer-reviewed)abstract
- We study the algebra of semigroups of sets (i.e. families of sets closed under finite unions) and its applications. For each n greater than 1 we produce two finite nested families of pairwise different semigroups of sets consisting of subsets of R" without the Baire property.
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| 5. |
- Al Abdulaali, Ahmad, 1981-
(author)
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Extension of Positive Currents with Special Properties of Monge-Ampère Operators
- 2013
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In: Mathematica Scandinavica. - : Det Kgl. Bibliotek/Royal Danish Library. - 0025-5521 .- 1903-1807. ; 113:1, s. 108-127
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Journal article (peer-reviewed)abstract
- This paper deals with the extension of positive currents across different types of sets. For closed complete pluripolar obstacles, we show the existence of such extensions. To do so, further Hausdorff dimension conditions are required. Moreover, we study the case when these obstacles are zero sets of strictly $k$-convex functions.
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| 6. |
- Al-Ayyoub, Ibrahim, et al.
(author)
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Results on the normality of square-free monomial ideals and cover ideals under some graph operations
- 2021
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In: Mathematica Scandinavica. - : Det Kgl. Bibliotek/Royal Danish Library. - 0025-5521 .- 1903-1807. ; 127:3, s. 441-457
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Journal article (peer-reviewed)abstract
- In this paper, we introduce techniques for producing normal square-free monomial ideals fromold such ideals. These techniques are then used to investigate the normality of cover ideals undersome graph operations. Square-free monomial ideals that come out as linear combinations of twonormal ideals are shown to be not necessarily normal; under such a case we investigate the integralclosedness of all powers of these ideals.
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| 7. |
- Altafi, Nasrin, et al.
(author)
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Free resolution of powers of monomial ideals and Golod rings
- 2017
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In: Mathematica Scandinavica. - : Mathematica Scandinavica. - 0025-5521 .- 1903-1807. ; 120:1, s. 59-67
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Journal article (peer-reviewed)abstract
- Let S = Kdbl[x1,⋯, xn] be the polynomial ring over a field Kdbl. In this paper we present a criterion for componentwise linearity of powers of monomial ideals. In particular, we prove that if a squarefree monomial ideal I contains no variable and some power of I is componentwise linear, then I satisfies the gcd condition. For a square-free monomial ideal I which contains no variable, we show that S/I is a Golod ring provided that for some integer s ≥ 1, the ideal Is has linear quotients with respect to a monomial order.
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| 8. |
- Ameur, Yacin
(author)
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A note on a theorem of Sparr
- 2004
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In: Mathematica Scandinavica. - 0025-5521. ; 94:1, s. 155-160
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Journal article (peer-reviewed)
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| 9. |
- Andersson, Mats, 1957
(author)
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A generalized Poincare-Lelong formula
- 2007
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In: Mathematica Scandinavica. - 0025-5521 .- 1903-1807. ; 101:2, s. 195-218
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Journal article (peer-reviewed)abstract
- We prove a generalization of the classical Poincare-Lelong formula. Given a holomorphic section f, with zero set Z, of a Hermitian vector bundle E -> X, let S be the line bundle over X\Z spanned by f and let Q = E/S. Then the Chern form c(D-Q) is locally integrable and closed in X and there is a current W such that dd(c)W = c(D-E) - c(D-Q) - M, where M is a current with support on Z. In particular, the top Bott-Chern class is represented by a current with support on Z. We discuss positivity of these currents, and we also reveal a close relation with principal value and residue currents of Cauchy-Fantappie-Leray type.
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| 10. |
- Andersson, Mats, 1957
(author)
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A global Briançon-Skoda-Huneke-Sznajdman theorem
- 2018
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In: Mathematica Scandinavica. - : Det Kgl. Bibliotek/Royal Danish Library. - 1903-1807 .- 0025-5521. ; 122:1, s. 31-52
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Journal article (peer-reviewed)abstract
- We prove a global effective membership result for polynomials on a non-reduced algebraic sub variety of C-N. It can be seen as a global version of a recent local result of Sznajdman. generalizine the Briancon-Skoda-Huneke theorem for the local ring of holomorphic functions at a point on a reduced analytic space.
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