Regular Orthocryptou Semigroups
Regular Orthocryptou Semigroups
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DOI：
10.1007/s00233-004-0114-4
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发表时间：
2004-05
期刊：
影响因子：
0.7
通讯作者：
Zhengpan Wang;Ronghua Zhang;M. Xie
中科院分区：
文献类型：
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作者：
Zhengpan Wang;Ronghua Zhang;M. Xie
本文引入了一类关系映射，它是由通常的集值映射通过添加一些相对等价而生成的。利用这一有趣而有力的工具，人们可以方便地在半超富足半群的范围内讨论某些类的正群和更一般的半群。利用半群上某些同余上的关系同态，阐明了半群的加细半格的定义。利用这一概念，我们研究了正则正交密半群的性质并刻画了正则正交密半群的结构。这种描述也可以专门用于正则正密半群的各种子类，例如左拟正规正密半群、左正则正密半群、左C-rpp半群（其中\widetilde{H}是同余）、正则正密群、左拟正规正密群、左正则正密群、Clifford半群、正则带、左拟正规带和左正则带。
A kind of relational mappings, generated from usual set-valued mappings by adding some relative equivalences, is introduced in this paper. With this interesting and powerful tool, one can conveniently discuss some classes of orthogroups and some more general classes of semigroups in the scope of semisuperabundant semigroups. Relational homomorphisms over some congruences on semigroups are used to clarify the definition of a refined semilattice of semigroups. With this notion we investigate the properties and describe the structure of regular orthocryptou semigroups. Such description can also be specialized to various subclasses of regular orthocryptou semigroups, such as left quasi-normal orthocryptou semigroups, left regular orthocryptou semigroups, left C-rpp semigroups in which \widetilde{H} is a congruence, regular orthocryptogroups, left quasi-normal orthocryptogroups, left regular orthocryptogroups, Clifford semigroups, regular bands, left quasi-normal bands and left regular bands.