SHANDONG SCIENCE ›› 2016, Vol. 29 ›› Issue (2): 92-95.doi: 10.3976/j.issn.1002-4026.2016.02.017

• Other Research Article • Previous Articles     Next Articles

Green’s ρ relations of (n,m)-semigroups

YANG Weiping, LI Gang   

  1. Institute of Mathematics Sciences, Shandong Normal University, Ji'nan 250014 China
  • Received:2015-06-09 Online:2016-04-20 Published:2016-04-20

Abstract:

We generalize Green’s ρ relations from usual semigroups into (n,m)-semigroups. We further define left congruence, quasistrong ρ-broad (n,m)-semigroups and strong ρbroad (n,m)-semigroups and address their fundamental properties.

Key words: strong ρ-broad (n,m)-semigroups, (n,m)-semigroups, left congruence, quasistrong ρbroad (n,m)-semigroups

CLC Number: 

  • O152.7