Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A double construction of quadratic anticenter-symmetric Jacobi-Jordan algebras
Authors: C.E. Haliya and G.D. Houndedji
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Abstract
This work addresses some relevant characteristics and properties of anticenter-symmetric Jacobi-Jordan algebras such as bimodules, matched pairs. Besides, the Jacobi-Jordan admissible algebra is defined; a special emphasis is given to a double construction of quadratic anticenter-symmetric algebras. We then follow this theory with the main properties and related algebraic structures of an anticenter-symmetric JJ algebra, namely the anti-Zinbiel algebras. Finally, we discuss the double construction of some classes of the two dimensional anticenter-symmetric JJ algebras.International Chair in Mathematical Physics and Applications
ICMPA-UNESCO Chair
072BP50, Cotonou
Rep. of Benin
E-mail: ,
ICMPA-UNESCO Chair
072BP50, Cotonou
Rep. of Benin
E-mail: ,
DOI
https://doi.org/10.56415/qrs.v31.03Fulltext
– 0.49 Mb
Contents
- On the intersection ideal graph of semigroups
- On topological completely inverse AG**-groupoids
- A double construction of quadratic anticenter-symmetric Jacobi-Jordan algebras
- On the universality and isotopy-isomorphy of (r,s,t)-inverse quasigroups and loops with applications to cryptography
- Semigroups in which the radical of every interior ideal is a subsemigroup
- Branched covers induced by semisymmetric quasigroup homomorphisms
- General form of the automorphism group of bicyclic graphs
- Weakly quasi invo-clean rings
- On central digraphs constructed from left loops and loops
- Some types of interior filters in quasi-ordered semigroups
- Injective and projective poset acts
