Perfect wrpp semigroups

Y.Z. Chen, Y. Li · Pure mathematics and applications · 2005

In this paper, we introduce a class of wrpp semigroups called perfect wrpp semigroups which contain both perfect rpp semigroups and C−wrpp semigroups as subclasses. After giving some properties and characterizations of such semigroups, using C−wrpp semigroups and normal bands we establish their structures. Finally, we give an example of such semigroup which is neither a perfect rpp semigroup nor a C−wrpp semigroup. Mathematics Subject Classi cations (2000). 20M10

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