Properties of Generalised Lattice Ordered Groups

Parimi Radha Krishna Kishore, Dawit Cherinet Kifetew

Abstract


A partially ordered group (po-group) is said to be a generalised lattice ordered group (gl-group) if the underlying poset is a generalised lattice. This paper is a study of some properties of finite subsets of a generalised lattice ordered group (gl-group). Finally obtained a lattice ordered group (l-group) from the given interally closed gl-group and concluded that every integrally closed gl-group is distributive.


Keywords


Poset; Lattice; po-group; l-group

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v7i1.7778

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International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.