Publication Type : Journal Article
Publisher : Southeast Asian Bulletin of Mathematics
Source : Southeast Asian Bulletin of Mathematics, vol. 38, no. 6, pp. 907–916, 2014.
Keywords : L− class, Maximal group, Orthodox unit regular monoid, R(L) strongly unit regular monoid, R− class, Subgroup
Campus : Amritapuri
School : School of Arts and Sciences
Department : Mathematics
Year : 2014
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 : Dr. Sreeja V. K. and Rajan, A. R., “Construction of Certain Unit Regular Orthodox Submonoids”, Southeast Asian Bulletin of Mathematics, vol. 38, no. 6, pp. 907–916, 2014.