A Note on Normal and Comaximal Lattices

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Published: Mar 17, 2016
Keywords:
1-distributive lattice prime ideal normal lattice comaximal lattice

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Chandrani Nag Nag
Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, Bangladesh
Shamsun Naher Begum
Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, Bangladesh
M. Rashed Talukder Talukder
Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, Bangladesh

Abstract

In this paper 1-distributive lattices which is a generalization of distributive lattices were discussed. We give a characterization of 1-distributive lattices. The Separation Theorem for the element 1 is proven. Normal lattices and comaximal lattices are also disscussed. It is shown that the class of comaximal lattices is a subclass of normal lattices but not the converse. The two classes are same if the lattices are 1-distributive.

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How to Cite
Nag, C. N., Begum, S. N., & Talukder, M. R. T. (2016). A Note on Normal and Comaximal Lattices. Science & Technology Asia, 21(1), 1–5. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/52104
Issue
Vol.21 No.1 (January-March 2016)
Section
Physical sciences