正规密码半超富足半群上的好同余  

Good Congruences on Normal Cryptic Semisuperabundant Semigroups

作　　者：宫春梅[1] 崔乐乐 袁莹[1] GONG Chunmei;CUI Lele;YUAN Ying(Department of Mathematics,College of Science,Xi’an University of Architecture and Technology,Xi'an,Shaanxi,710055,P.R.China)

机构地区：[1]西安建筑科技大学理学院数学系,西安陕西710055

出　　处：《数学进展》2022年第5期796-806,共11页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.12001418);Special Research Foundation of Education Department of Shaanxi Province(No.18JK0442);Research Foundation of Xi'an University of Architecture and Technology(No.ZR18035)。

摘　　要：本文研究了正规密码半超富足半群上的好同余,证明了此类半群上任一好同余均可由同余对刻画.特别地,给出了完全J-单半群上好同余的刻画,从而将完全单半群和正规密群上的同余理论推广到了半富足半群中.The aim of this paper is to study good congruences on normal cryptic semisuperabundant semigroups.It is shown that any good congruence can be described by the good congruence pair.Especially,good congruences on a completely J-simple semigroup are described.Some results about congruences for completely simple semigroups and normal cryptogroups are generalized to semiabundant semigroups.

关 键 词：好同余 正规密码半超富足半群 好同余对 

分 类 号：O152.7[理学—数学]