Publication Type:

Journal Article

Source:

Southeast Asian Bulletin of Mathematics, Volume 38, Issue 6, p.907–916 (2014)

Keywords:

L− class, Maximal group, Orthodox unit regular monoid, R(L) strongly unit regular monoid, R− class, Subgroup

Abstract:

A regular semigroup S is said to bo orthodox if for any e, f ∈ E(S), ef ∈ E(S) where E(S) denotes the set of idempotents of S. A regular monoid S is said to be unit regular if for any x ∈ S, there exists an element u in the group of units of S such that x = xux. Here we characterize some orthodox unit regular submonoids associated with the L−class and R− class of a R−strongly (L−strongly) unit regular monoid.

Cite this Research Publication

V. K. Sreeja and Rajan, A. R., “Construction of Certain Unit Regular Orthodox Submonoids”, Southeast Asian Bulletin of Mathematics, vol. 38, no. 6, pp. 907–916, 2014.