Vol. 13 (04) pp. 1198-1204 DOI: 10.21474/IJAR01/20831

HOM-ANTICENTER SYMMETRIC ALGEBRAS AND HOM-MOCK LIE ALGEBRAS: MATCHED PAIRS AND MANIN TRIPLES

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  • Gamal Abdel Nasser University of Conakry, Republic of Guinea, Department of Mathematics, BP 1147 Conakry, Guinea.
  • University of Abomey-Calavi, International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, 072 BP 50, Cotonou, Rep. of Benin.
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Abstract

This work develops the hom-algebra theory for anticenter-symmetric algebras by introducing the concept of a hom-anticenter-symmetric algebra. We give their bimodules, dual bimodules and matched pairs. The relation of the bimodules and matched pairs of hom-anticenter-symmetric algebras between those of hom-Mock Lie algebras is discussed. Finally, we establish the Manin triple of hom-anticenter-symmetric algebras.

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How to Cite This Article

Gbevewou Damien Houndedji and Bakary Kourouma (2025); HOM-ANTICENTER SYMMETRIC ALGEBRAS AND HOM-MOCK LIE ALGEBRAS: MATCHED PAIRS AND MANIN TRIPLES, Int. J. of Adv. Res., 13 (04), 1198-1204, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/20831

Corresponding Author

Gbevewou Damien HOUNDEDJI
Gamal Abdel Nasser University of Conakry, Republic of Guinea, Department of Mathematics, BP 1147 Conakry, Guinea ; University of Abomey-Calavi, International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, 072 BP 50, Cotonou, Rep. of Benin
Guinea
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