A Note on Weakly Inverse Semigroups
Abstract
An idempotent fin a semigroup S is said to be right principal if fef=fe for all idempotents f in S. An element x ∈ S is right principal if xx' is a right principal idempotent for some inverses' of x.Downloads
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 1976 K. S. S. Nambooripad, Y. Sitaraman
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
BROWN, R.J., D.W. HARDY AND R.J. PAINTER, A note on a paper by Srinivasan, Math. Ann. 186 (1970), 34-35.
An embedding theorem for weakly inverse semigroup, Semigroup Forum 2 (1971), 332-335.
CLIFFORD, A.H., AND G.B. PRESTON, The Algebraic Theory of Semigroups, Math. Surveys No. 7, Amer. Math. Soc, Providence, RI, Vol. I (1961).
HALL, T.E., Congruences and Green's relations on regular semigroups, Glasgow Math. J. 13(1972), 167-175.
NAMBOORIPAD, K.S.S., On some classes of regular semigroups, Semigroup Forum 2(1971), 264-270
NAMBOORIPAD, K.S.S. AND Y. SITARAMAN, On some congruences on regular semigroups (communicated)
SRINIVASAN, B.R., Weakly inverse semigroups, Math. Ann. 76 (1968), 324-333.