On Generalized Adequate Transversals

Abstract

The aim of this article is to study abundant semigroups with generalized adequate transversals. We obtain some properties of such semigroups and give, in particular, a construction of the class of abundant semigroups with quasi-ideal generalized adequate transversals. Finally, we apply this construction to some special cases.

Key Words:

• Generalized adequate
• Partial sub-band
• Quasi-ideal
• Transversal

Mathematics Subject Classification:

• 20M10

ACKNOWLEDGMENTS

The authors would like to thank Prof. Victoria Gould and Referees for their valuable suggestions and comments.

Notes

Communicated by V. Gould.