A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. The present paper is devoted to the study of completely regular semigroup congruences on bands of π-groups.
[7] W.D. Munn, Pseudo-inverses in Semigroups, Proc. Camb. Phil. Soc. 57 (1961) 247-250. doi: 10.1017/S0305004100035143.
[8] M. Petrich, Regular Semigroups which are subdirect products of a band and a semilattice of groups, Glasgow Math. J. 14 (1973) 27-49. doi: 10.1017/S0017089500001701.
[9] M. Petrich and N.R. Reilly, Completely Regular Semigroups (Wiley, New York, 1999).
[10] S.H. Rao and P. Lakshmi, Group Congruences on Eventually Regular Semigroups, J. Austral. Math. Soc. (Series A) 45 (1988) 320-325. doi: 10.1017/S1446788700031025.
[11] S. Sattayaporn, The Least Group Congruences On Eventually Regular Semigroups, International Journal of Algebra 4 (2010) 327-334.
[12] J. Zeleznekow, Regular semirings, Semigroup Forum 23 (1981) 119-136. doi: 10.1007/BF02676640.