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- Title
Relative (pre-)anti-flexible algebras and associated algebraic structures.
- Authors
Dassoundo, Mafoya Landry
- Abstract
Pre-anti-flexible family algebras are introduced and used to define and describe the notions of Ωc-relative anti-flexible algebras, left and right pre-Lie family algebras and Ωc-relative Lie algebras. The notion of Ωc-relative pre-anti-flexible algebras are introduced and also used to characterize pre-anti-flexible family algebras, left and right pre-Lie family algebras and significant identities associated to these algebraic structures are provided. Finally, a generalization of the Rota-Baxter operators defined on an Ωc-relative anti-flexible algebra is introduced and it is also proved that both Rota-Baxter operators and its generalization provide Ωc-relative pre-anti-flexible algebras structures and related consequences are derived.
- Subjects
ALGEBRA; LIE algebras
- Publication
Quasigroups & Related Systems, 2022, Vol 30, Issue 1, p31
- ISSN
1561-2848
- Publication type
Article
- DOI
10.56415/qrs.v30.03