Volume 2 Number 4 (Jul. 2012)
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IJAPM 2012 Vol.2(4): 290-292 ISSN:2010-362X
DOI: 10.7763/IJAPM.2012.V2.115

Properties of Lattice Ordered Groups and Γ - Semi Groups

V. B. Subrahmanyeswara Rao Seetamraju, Anjaneyulu A., and Sridevi S.

Abstract—In this paper we present the properties of lattice ordered groups derived from the properties of partially ordered groups. The notion of Γ-semi groups was introduced by Sen in 1981. The concept of Γ- semigroups is a generalization of the concept of semigroups Many classical notions of semigroups have been extended to Γ-semigroups, ( S, Γ , ≤) is called an ordered Γ-semigroup if ( S, Γ ) is a Γ-semigroup and ( S, ≤ ) is a partially ordered set such that a ≤ b ⇒ a r cb r c and c r ac r b for all a, b, c € s  and r € Γ
 

Index Terms—Partially ordered groups, Lattice ordered groups, semi groups, Γ semi groups and ordered Γ semi groups
V. B Subrahmanyeswara Rao Seetamraju is working as Assistant Professor of mathematics and Controller of Examinations at VKR, VNB & AGK College of Engineering, Gudivada.
A. Anjaneyulu is with the department of Mathematics, VSR & NVR College, Tenali, A. P.
Sridevi. S is working as Assistant Professor of mathematics at VKR, VNB & AGK College of Engineering, Gudivada.

 

Cite: V. B. Subrahmanyeswara Rao Seetamraju, Anjaneyulu A., and Sridevi S., "Properties of Lattice Ordered Groups and Γ - Semi Groups," International Journal of Applied Physics and Mathematics  vol. 2, no. 4, pp. 290-292, 2012.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Engineering & Technology Digital Library, Nanowerk Database, Google Scholar and ProQuest
E-mail: ijapm@iap.org
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