论文标题
Bihom-Altertanter代数的变形和扩展
Deformations and Extensions of BiHom-alternative algebras
论文作者
论文摘要
The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps.我们研究左BIHOM-ALTENTAINT代数的同时和单参数形式变形理论。此外，我们研究了Bihom-Alternative代数的中央和$t_θ$ - 延伸及其与协同学的关系。最后，我们研究了广义推导并给出一些相关结果。
The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps. We study cohomology and one-parameter formal deformation theory of left BiHom-alternative algebras. Moreover, we study central and $T_θ$-extensions of BiHom-alternative algebras and their relationship with cohomology. Finally, we investigate generalized derivations and give some relevant results.
