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| Articolul precedent |
| Articolul urmator |
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 344 10 |
| Ultima descărcare din IBN: 2023-01-05 05:47 |
| Căutarea după subiecte similare conform CZU |
| 512.5+512.81 (1) |
| Algebră (410) |
 SM ISO690:2012CYRILLE ESSOSSOLIM, Haliya, GBÊVÈWOU, Damien Houndedji. Hom-Jacobi-Jordan and Hom-antiassociative algebras with symmetric invariant nondegenerate bilinear forms. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 1(45), pp. 61-88. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 29, Numărul 1(45) / 2021 / ISSN 1561-2848 | ||||||
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| CZU: 512.5+512.81 | ||||||
| Pag. 61-88 | ||||||
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The aim of this paper is first to introduce and study quadratic Hom-Jacobi-Jordan algebras, which are Hom-Jacobi-Jordan algebras with symmetric invariant nondegenerate bilinear forms. We provide several constructions leading to examples. We reduce the case where the twist map is invertible to the study of involutive quadratic Jacobi-Jordan algebras. Also elements of a representation theory for Hom-Jacobi-Jordan algebras, including adjoint and coadjoint representations are supplied with application to quadratic Hom-Jacobi-Jordan algebras. Secondly, introduce a hom-antiassociative algebra built as a direct sum of a given hom- antiassociative algebra (A; ; ) and its dual (A; ; ); endowed with a non-degenerate symmetric bilinear form B; where and are the products defined on A and A; respectively, and stand for the corresponding algebra homomorphisms. |
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