13 papers
On projective representations of Plesken Lie algebras
P G Romeo, Arjun S N
In this article we describe the projective representation of Plesken Lie algebras and equivalent central extensions of these algebras. Further it is also shown that there exists a…
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…
On category of Lie algebras
P G Romeo, Arjun S N
In this paper we describe the the category of Lie algebras of group algebras and the category of Plesken Lie algebras and explore the categorical relations between them. Further we…
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…
Generalized groups and module groupoids
P. G. Romeo, Sneha K K
In this paper we discuss generalized group, provides some interesting examples. Further we introduce a generalized module as a module like structure obtained from a generalized gro…