关于(n,m)-半群上的格林*关系

doi:10.3976/j.issn.1002-4026.2013.05.001

J4 ›› 2013, Vol. 26 ›› Issue (5): 1-5.doi: 10.3976/j.issn.1002-4026.2013.05.001

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On Green* relations of (n,m)-semigroups

WEI Peng-Li, ZHU Yong-Wen

School of Mathematics and Information Science, Yantai University, Yantai 264005, China

Received:2013-01-18 Published:2013-10-20 Online:2013-10-20

Abstract

Abstract:

We generalize Green*relations from usual semigroups to (n,m)-semigroups and then define abundant (n,m) semigroups, adequate (n,m) semigroups and type A (n,m)-semigroups. We also address their fundamental properties. Especially, we generalize a theorem about Munn semigroups.

Key words: (n,m)-semigroups, Green* relation, abundant , (n,m)-semigroups, adequate (n,m)-semigroups, (n,m)-semigroups of type A

CLC Number:

O152.7

WEI Peng-Li, ZHU Yong-Wen. On Green* relations of (n,m)-semigroups[J].J4, 2013, 26(5): 1-5.

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On Green* relations of (n,m)-semigroups

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