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- W4287637897 abstract "Pre-anti-flexible family algebras are introduced and linked with the notions of relative anti-flexible algebras, left and right pre-Lie family algebras and relative Lie algebras which are for mostly newly defined. Relative pre-anti-flexible algebras are given and their underlying algebras structures such as pre-anti-flexible family algebras, left and right pre-Lie family algebras, and other are investigated and significant identities linking those introduced structures are derived. In addition, a generalization of the Rota-Baxter operators defined on a relative anti-flexible algebra is introduced and both Rota-Baxter operators and its generalization are used to build relative pre-anti-flexible algebras structures underlying relative anti-flexible algebras and related consequences are derived." @default.
- W4287637897 created "2022-07-25" @default.
- W4287637897 creator A5077649216 @default.
- W4287637897 date "2020-10-18" @default.
- W4287637897 modified "2023-09-26" @default.
- W4287637897 title "Relative (pre-)anti-flexible algebras and associated algebraic structures" @default.
- W4287637897 doi "https://doi.org/10.48550/arxiv.2011.05172" @default.
- W4287637897 hasPublicationYear "2020" @default.
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