局部半群的核为带的完全π-正则半群
Epigroups Which Are Locally in the Classes with Kernels Being Bands
摘要:
完全π-正则半群是其所含任意元的某个方幂属于其最大子群的半群。论文利用禁止因子和等式等方法刻画局部半群的核为带的完全π-正则半群。并讨论局部半群的核为左正则带和半格的完全π-正则半群等特殊情形。
Abstract:
A semigroup is called an epigroup if some power of each element lies in a subgroup. In this paper we give some descriptions of epigroups which are locally in the classes of epigroups with kernels being bands in terms of identities, in terms of forbidden epidivisors. For special cases, epigroups which are locally in the classes of epigroups with kernels being left regular bands and semilattices are also characterized.
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