AN INTRODUCTION TO LATTICE ORDERED G-MODULES
Main Article Content
Abstract
Lattice theory is a branch of Mathematics which is fast making inroads into various mathematical disciplines. The concepts of lattice ordered groups and rings emerged as a result of the application of lattice theory in algebra. The structure of -modules is an effective tool in algebra which is mainly used in representation theory. In this paper we introduce the notion of lattice ordered -modules which would facilitate an advanced research in the area of lattice ordered groups and other algebraic systems.
Â
Keywords: -group, lattice ordered -module, lattice ordered -submodule,-ideal,-filter,-annihilator[2010] MSC: 20Cxx 06F25
Downloads
Article Details
Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA) the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.
Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal