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子群为Abel群的纯整群并
Orthogroups of Which Every Subgroup Is Abelian
【摘要】 解决了簇OHA的字的问题,即找出一个算法来判定一个恒等式s=t是否对簇OHA中所有的半群都成立.作为簇OHA的字的问题的解的一个应用,我们得到:一个正则半群S是子群为Abel群的纯整群并当且仅当对任意的a,b∈S,有V(ab)=V(ba).
【Abstract】 The word problem of the variety OHA is solved, i.e., an algorithm which decides whether an identity s=t holds in all semigroups of OHA or not is given. As an application, the following result is obtained:For a regular semigroup S, S is an orthogroup of which every subgroup is abelian if and only if for any a,b in S, V(ab)=V(ba).
【关键词】 完全正则半群簇;
纯整群并;
Abel群;
【Key words】 variety of completely regular semigroups orthogrups abelian group;
【Key words】 variety of completely regular semigroups orthogrups abelian group;
【基金】 甘肃省中青年科技基金
- 【文献出处】 兰州大学学报 ,Journal of Lanzhou University , 编辑部邮箱 ,1997年04期
- 【分类号】O152.7
- 【下载频次】13