| 1. |
- Bakayoko, Ibrahima, et al.
(author)
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Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations
- 2021
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In: Afrika Matematika. - : Springer. - 1012-9405 .- 2190-7668. ; 32:5-6, s. 941-958
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Journal article (peer-reviewed)abstract
- The goal of this paper is to introduce and give some constructions and study properties of Hom-left-symmetric color dialgebras and Hom-tridendriform color algebras. Next, we study their connection with Hom-associative color algebras, Hom-post-Lie color algebras and Hom-Poisson color dialgebras. Finally, we generalize Yau's twisting to a class of color Hom-algebras and use endomorphisms or elements of centroids to produce other color Hom-algebras from given one.
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| 2. |
- Bakayoko, Ibrahima, et al.
(author)
-
Hom-Prealternative Superalgebras
- 2023
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In: Non-commutative and Non-associative Algebra and Analysis Structures. - : Springer. - 9783031320088 ; , s. 121-145
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Conference paper (peer-reviewed)abstract
- The purpose of this paper is to introduce Hom-prealternative superalgebras and their bimodules. Some constructions of Hom-prealternative superalgebras and Hom-alternative superalgebras are given, and their connection with Hom-alternative superalgebras are studied. Bimodules over Hom-prealternative superalgebras are introduced, relations between bimodules over Hom-prealternative superalgebras and the bimodules of the corresponding Hom-alternative superalgebras are considered, and construction of bimodules over Hom-prealternative superalgebras by twisting is described.
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