Partial Orders in Regular Semigroups

Authors

  • K. V. R. Srinivas Giet Engineering College, Rajahmundry, India.
  • Y. L. Anasuya Andhra University, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-81-19491-82-7/CH1

Keywords:

Locally inverse semigroup, orthodox semigroup, completely regular semigroup, normal band

Abstract

First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C \(\subseteq\) S and on a completely regular semigroup  and  is partial order. It is also obtained that a band (S,.) isnormaliffC = N. It is also observed that on a completely regular semigroup (S,),.C = S = N iff (S,.) islocally inverse semigroup and the restriction of C to E(S) is the usual partial order on E (S). Finally it is obtained that, if (S,.) isanormalband of groups then C = S = N.

Published

2023-08-21

How to Cite

K. V. R. Srinivas, & Y. L. Anasuya. (2023). Partial Orders in Regular Semigroups. Characterisation of Semigroups and Rings, 2–7. https://doi.org/10.9734/bpi/mono/978-81-19491-82-7/CH1

Issue

Characterisation of Semigroups and Rings

Section

Contents