doi: 10.7763/IJAPM.2012.V2.115
Properties of Lattice Ordered Groups and Γ - Semi Groups
- 1 the department of Mathematics, VSR & NVR College, Tenali, A. P.
- 2 VKR, VNB & AGK College of Engineering, Gudivada
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 <i>a ≤ </i>b ⇒ <i>a r c</i> ≤ <i>b r c</i> and <i>c r a</i> ≤ <i>c r b</i> for all <i>a, b, c</i> € s and <i>r</i> € Γ<br />
Keywords
- Partially ordered groups
- Lattice ordered groups
- semi groups
- Γ semi groups and ordered Γ semi groups
How to 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. https://doi.org/ 10.7763/IJAPM.2012.V2.115
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).