嵌任意半群入2ˉ双单半带
Keywords: 嵌入,半带,双单半带,2ˉ双单半带
Abstract:
称半群S为2ˉ半带,若其中每个元素都可以写为S中两个幂等元的积.证明了任意半群可嵌入一个2ˉ双单半带.
References
[1] | Byleen K.Regular fourˉspiral semigroups,idempotentˉgenerated semigroups and the Rees construction[J].Semigroup Forum,1981,22:97ˉ100.
|
[2] | Giraldes E,Howie JM.Embedding finite semigroups in finite semibands of minimal depth[J].Semigroup Forum,1984,28:135ˉ142.
|
[3] | Howie JM.Fundamentals of Semigroup Theory[M].Oxford:Clarendon Press,1995.
|
[4] | Howie JM.The subsemigroup generated by the idempotents of a full transformation semigroup[J].JLondonMath Soc,1966,41:707ˉ716.
|
[5] | Pastijn F.Embedding semigroups in semibands[J].Semigroup Forum,1977,14:247ˉ163.
|
[6] | Preston G B.Embedding any semigroup in a Dˉsimple semigroup[J].Trans AmerMath Soc,1959,93:557ˉ576.
|
[7] | 任猛章,徐芒.半群嵌入群的一个充分条件[J].四川师范大学学报:自然科学版,2000,23(4):356ˉ357.
|
[8] | 徐芒,喻秉钧.逆半群在给定群上的Eˉ囿盖[J].四川师范大学学报:自然科学版,2001,24(2):124ˉ127.
|
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