• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2015, Volume: 8, Issue: 28, Pages: 1-7

Original Article

Congruences and External Direct Sum of LA-modules


Abstract In this paper we study a new algebraic structure namely left almost module (LA-module in short).We extend the notion of congruences to LA-modules which is defined in1 for semigroups. We show that every homomorphism defines a congruence relation on LA-modules and prove analogues of isomorphism theorems. We also define external direct sum of LA-modules and show that the internal direct sum of LA-submodules is isomorphic to the external direct sum of those LA-submodules.
Keywords: Congruences, External Direct Sums, Internal Direct Sums, LA-modules, LA-module Homomorphism, LA-submodules 


Subscribe now for latest articles and news.