8 papers · 1 filter
Ideal lattices of semigroup of doubly stochastic matrices
P G Romeo, Riya Jose
In this paper we illustrate the rule for finding number of idempotents in the doubly stochastic matrix and also locate the idempotents for the semigroups and . Fur…
Some ordered matrix semigroups
P. G. Romeo, Sathi P H
A semigroup together with compatible partial order is called an odered semigroup. In this paper we discuss the ordered matrix semigroups.
Group lattices over division rings A tribute to the renowned Indian Mathematician K.S.S.Nambooripad
P. G. Romeo, Alanka Thomas
Group action on an algebraic structure gives a representation of the group by automorphisms on the structure. An action of a group on a lattice gives a group lattice. K.S.S. Namboo…
Weakly Abundant Semigroups and variants
P G Romeo, Siji Michel
A weakly U abundant is a class of semigroups characterized using some generalized Green' relations. In this paper we discuss the variants of weakly U - abundant semigroups and it i…
On the embedding of Gamma-semigroup amalgam
Smisha M A, P G Romeo
Gamma-semigroup is introduced as a generalization of semigroups by M. K Sen and Saha. In this paper we describe amalgam of two Gamma-semigroups and discuss the embeddability of thi…
Graph inverse semigroups and their substructures
P G Romeo, Alanka Thomas
In this paper we discuss graph inverse semigroups which are constucted from a directed graphs and study several interesting properties of graph inverse semigroups such as the natur…
Local subsemigroups and variants of some class of semigroups
Siji Michael, P. G. Romeo
For an element a in a semigroup S the local subsemigroup of S with respect to a is the subsemigroup aSa of S and the variant of S with respect to a is a semigroup with underlying s…
Cross-connection structure of concordant semigroups
P. A. Azeef Muhammed, P. G. Romeo, K. S. S. Nambooripad
Cross-connection theory provides the construction of a semigroup from its ideal structure using small categories. A concordant semigroup is an idempotent-connected abundant semigro…