SHANDONG SCIENCE ›› 2014, Vol. 27 ›› Issue (5): 98-102.doi: 10.3976/j.issn.1002-4026.2014.05.018

• Article • Previous Articles     Next Articles

Green-relations of (n,m)-semigroups

SUN Xue-min, LI Gang   

  1. School of Mathematics, Shandong Normal University, Jinan 250014, China
  • Received:2014-05-26 Published:2014-10-20 Online:2014-10-20

Abstract: We extend Green-relations from usual semigroups to (n,m)-semigroups. We further define broad (n,m)-semigroups, quasi adequate broad (n,m)-semigroups and adequate broad (n,m)-semigroups and address their fundamental properties.

Key words: (n,m)-semigroup, adequate broad (n,m)-semigroup, quasi adequate broad (n,m)-semigroup, Greenrelations, broad (n,m)-semigroup

CLC Number: 

  • O152.7

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