论文标题
相对（前）抗芬太语代数和相关代数结构
Relative (pre-)anti-flexible algebras and associated algebraic structures
论文作者
论文摘要
引入了抗富含的家族代数并将其与相对反弹性代数，左右与lie家族的代数和相对谎言代数的概念联系起来，这些代数大多是新定义的。给出了相对抗富含前的代数，并研究了其潜在的代数结构，例如抗恒星前的代数，左右与lie家族的代数，以及其他研究的重要身份，并将其链接到这些引入的结构。此外，引入了在相对反弹性代数上定义的Rota-baxter操作员的概括，并使用Rota-baxter oberators及其概括来构建基于相对反静态的前代代数结构相对抗抗曲线式代数结构，并得出了相关后果。
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.
