Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
170 0 |
Căutarea după subiecte similare conform CZU |
512.64 (18) |
Algebră (410) |
SM ISO690:2012 CYRILLE ESSOSSOLIM, Haliya, GBÊVÈWOU, Damien Houndedji. A double construction of quadratic anticentersymmetric Jacobi-Jordan algebras. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 1, pp. 25-52. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.03 |
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Quasigroups and Related Systems | ||||||
Volumul 31, Numărul 1 / 2023 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v31.03 | ||||||
CZU: 512.64 | ||||||
MSC 2010: 16T25, 05C25, 16S99, 16Z05. | ||||||
Pag. 25-52 | ||||||
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Rezumat | ||||||
This work addresses some relevant characteristics and properties of anticentersymmetric Jacobi-Jordan algebras such as bimodules, matched pairs. Besides, the JacobiJordan 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. |
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Cuvinte-cheie anticenter-symmetric Jacobi-Jordan algebra, double construction, antiZinbiel |
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