BiHom-alternative和BiHom-Jordan代数的构造和双模
Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras
摘要:
本文给出了BiHom-alternative代数和BiHom-Jordan代数的一些构造结果和例子。其次,我们定义了BiHom-alternative模和BiHom-Jordan(bi)模,并证明了由给定的BiHom-alternative模和BiHom-Jordan双模,可以构造出这类双模的序列.给出了BiHom-associative双模、BiHom-alternative双模和BiHom-Jordan双模之间的一些关系。
英文摘要:
The aim of this paper is to give some construction results and examples of BiHom-alternative and BiHom-Jordan algebras. Next, we define BiHom-alternative and BiHom-Jordan (bi)modules and we prove that from a given BiHom-alternative and BiHom-Jordan bimodules, a sequence of this kind of bimodules can be constructed. Some relations between Bihom-associative, BiHom-alternative and BiHom-Jordan bimodules are given.
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