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求证具有强半格结构的完全正则半群成为P-完全正则半群的充分条件.利用半群的强半格结构以及同余的性质.完全单半群的强半格-正规群带是P-完全正则半群.矩形群的强半格正规纯正群类ONBG,左群的强半格左正规纯整群类LONBG,群的强半格Clifford半群类,矩形带的强半格正规带类NB,都具有性质P. 相似文献
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进一步研究了正则交半群,引入了纯下在交半群的概念,分别给出了完全正则半群为正则交半群与正交半群的刻划。 相似文献
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拟正则半群上的两个完全正则同余相等当且仅当它们的核正规系相同。更进一步地,我们还可建立一个从一个拟正半群上的全体完全正则同余的集合到这个半群的所有完全正则核正规系的集合上的双射。 相似文献
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完全单半群及完全正则半群的逆断面 总被引:1,自引:1,他引:0
指出完全单半群S的任何一个F-类是逆断面,且为Q-逆断面,而S的任何一个逆断面必是一个F-类,因而所有逆断面同构。并且给出完全正则半群的逆断面存在的充要条件。 相似文献
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关于Fuzzy完全正则半群 总被引:3,自引:3,他引:0
本文先引入Fuzzy左(Fuzzy右)正则半群的概念,进而讨论Fuzzy左(Fuzzy右)正则半群以及Fuzzy完全正则半群中Fuzzy理想的一些代数性质。 相似文献
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本文利用点集映射和等价关系得出了完全正则半群的Cayley表示,从而解决了1987年M.Petrich提出的一个公开问题.作为特例,还得到完全单半群的cayley表示. 相似文献
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本文分别讨论了关于结合环和半群的二个定理,并且由结合环的这二个定理推出了如下准则:结合环R是Abel正则的,当且仅当R的每个拟理想是正则环. 相似文献
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The object of the article is to characterize epigroups which are locally completely regular. Some subclasses of such epigroups are also described. 相似文献
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Let P denote the equivalence relation on an epigroup in which any of its classes consists precisely of those elements owning the same pseudo-inverse. The purpose of the paper is to characterize epigroups on which any congruence either contains P or its join with P is the identity relation on epigroups. As a special subclass of epigroups, completely 0-simple semigroups having the same property are also described. 相似文献
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Roman S. Gigoń 《代数通讯》2017,45(7):3045-3051
We show that an exponential epigroup is a band of unipotent exponential epigroups (in which the set of idempotents forms a subsemigroup). Also, we investigate the structure of unipotent exponential epigroups. In addition, a characterization of the least normal band of groups congruence is given for an arbitrary medial epigroup. It is also shown that k-exponential eventually regular semigroups are necessarily epigroups. 相似文献
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Roman S. Gigoń 《代数通讯》2019,47(1):188-194
We prove that any permutative k-exponential epigroup is a normal band of unipotent epigroups. Moreover, we describe the least regular congruence on such semigroups. Finally, we give an example of a permutative epigroup which is not a band of unipotent epigroups. 相似文献
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Jingguo Liu 《Semigroup Forum》2013,87(1):187-200
The purpose of the paper is to find several characterizations of epigroups mentioned in the title. Some special cases are also considered. 相似文献
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A. J. Ovsyannikov 《Semigroup Forum》2013,86(1):155-161
We characterize epigroups mentioned in the title. 相似文献
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L. N. Shevrin 《Journal of Mathematical Sciences》2010,164(1):148-154
The aim of this paper is to give a survey of the first advances in the study of diverse interconnections between epigroups
and their subepigroup lattices. 相似文献
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Jingguo Liu 《Semigroup Forum》2013,87(3):627-638
The purpose of the paper is to find a characterization of the epigroups mentioned in the title in terms of forbidden divisors, which solves a problem posed by L.N. Shevrin. 相似文献
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