论文标题
右(hom-)替代超级甲虫的超级通用商(hom-)
Supercommutator (Hom-)superalgebras of right (Hom-)alternative superalgebras
论文作者
论文摘要
它表明,正确的替代超级甲骨的超级交通超级甲壳虫是bol superalgebra。定义了hom-bol超级甲虫,并且表明它们在自我形态下也被关闭。任何Bol Superalgebra以及任何什至自我形态的均被扭曲成Hom-Bol Superalgebra。右霍尼斯超级甲壳虫的超级通用商超级甲壳虫具有天然的hom-bol结构。为了证明这最后的结果,研究了正确的霍姆 - 约旦 - 乔丹超级超级代理人的征服性,并定义了下一个霍姆 - 约旦超级人体系统,并考虑了它们与Hom-Jordan Superalgebras和Hom-Jordan Superalgebras和Hom-Lie Supertriple Systems的联系。
It shown that the supercommutator superalgebra of a right alternative superalgebra is a Bol superalgebra. Hom-Bol superalgebras are defined and it is shown that they are closed under even self-morphisms. Any Bol superalgebra along with any even self-morphism is twisted into a Hom-Bol superalgebra. The supercommutator superalgebra of a right Hom-alternative superalgebra has a natural Hom-Bol structure. In order to prove this last result, the Hom-Jordan-admissibility of right Hom-alternative superalgebras is investigated and next Hom-Jordan supertriple systems are defined and their connection with Hom-Jordan superalgebras and Hom-Lie supertriple systems is considered.