A Note on Weakly Inverse Semigroups

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Authors

  • K. S. S. Nambooripad
     Department of Mathematics, University of Kerala, Kariavattom, Trivandrum ,IN
  • Y. Sitaraman
     Department of Mathematics, University of Kerala, Kariavattom, Trivandrum ,IN

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.

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Published

1976-12-01

How to Cite

Nambooripad, K. S. S., & Sitaraman, Y. (1976). A Note on Weakly Inverse Semigroups. The Journal of the Indian Mathematical Society, 40(1-4), 145–151. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16619

Issue

Volume 40, Issue 1-4, March-December 1976

Section

Articles

License

Copyright (c) 1976 K. S. S. Nambooripad, Y. Sitaraman

Creative Commons License

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.