Almost principal ideals and tensor product of hyperlattices-Reference-Cited by-同舟云学术

Almost principal ideals and tensor product of hyperlattices

Published:2017-07-26 Issue:2 Volume:25 Page:171-183
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Lashkenari A. Soltani¹,Davvaz B.¹

Affiliation:

1. Department of Mathematics, Yazd University, Yazd , Iran

Abstract

Abstract In this paper, by considering the notion of congruences on hyper- lattices we define almost principal ideals on hyperlattices. We investigate some properties and prove some results about them. Also, we define compatible functions on hyperlattices and investigate connection between these functions and almost principal ideals. Then, we define tensor product of two hyperlattices and present several properties such as completeness and distributivity on tensor product of hyperlattices.

Publisher

Walter de Gruyter GmbH

Reference27 articles.

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4. [4] B. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications. International Academic Press, USA, 2007.

5. [5] G.A. Fraser, The tensor product of distributive lattices, Proceedings of the Edinburgh Mathematical Society, 20(02) (1976), 121-131.10.1017/S0013091500010622

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