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正则双序集上的完全半单半群同余
Completely Semisimple Semigroup Congrucences on a Regular Biordered Set
【摘要】 研究了正则双序集上的完全半单半群同余,给出了这类同余的等价刻画,用≤表示正则双序集上的自然偏序,证明了是任意正则双序集上的最小完全半单半群同余.
【Abstract】 The completely semisimple congruences on a regular biordered set are investigated,some equivalent characterization of completely semisimple congruences are obtained.Let≤ be the natural partial order on a regular semigroup.We prove that is the least completely semisimple semigroup congruence on a regular biordered set.
【关键词】 自然偏序;
正则双序集;
完全半单半群同余;
【Key words】 natural partial order; regular biordered set; completely semisim ple semigroup congruence;
【Key words】 natural partial order; regular biordered set; completely semisim ple semigroup congruence;
- 【文献出处】 河西学院学报 ,Journal of Hexi University , 编辑部邮箱 ,2006年05期
- 【分类号】O152.7
- 【下载频次】25