强U-■-富足半群上的同余

Congruence on strongly U-■-abundant semigroups

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摘要研究了强U-■-富足半群上的同余,分别给出了包含在■,■,■中的最大同余,利用这三个同余得到若干等价关系,最后利用幂等元半格U,刻画了强U-■-富足半群的性质. We introduced congruence on strongly U-H^=-abundant semigroups and gave three biggest congruences contained in LH^=U,RH^=U,HH^=U,respectively.Many equivalent relations were given by these three congruences.We characterized some properties of strongly U-H^=-abundant semigroups in term of idempotent semilattice U as well.

作者韩雪梅李刚 HAN Xue-mei;LI Gang(School of Mathematics and Statistics,Shandong Normal University,Jinan 250014,China)

机构地区山东师范大学数学与统计学院

出处《山东科学》 CAS 2019年第1期118-123,共6页 Shandong Science

关键词强U-右(左)-富足半群强U-H^=U-富足半群同余基本的 strongly U-right(left)-abundant semigroups strongly U-H^=-abundant semigroups congruence basic

分类号 O152.7 [理学—数学]