Normal Ideals in Generalized Almost Distributive Lattices

被引：0

作者：

Rao, G. C. ^{[1
]}

Bandaru, Ravi Kumar ^{[2
]}

Rafi, N. ^{[1
]}

机构：

[1] Andhra Univ, Dept Math, Visakhapatnam 530003, Andhra Pradesh, India

[2] GITAM Univ, Dept Engg Math, Hyderabad Campus, Hyderabad 502329, Andhra Pradesh, India

来源：

THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期

关键词：

generalized almost distributive lattice (GADL); annihilator preserving homomorphism; disjunctive GADL; normal ideal;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduced the concept of an annihilator preserving homomorphism from a GADL L into a GADL L' and studied some basic properties of these homomorphisms. We derived a sufficient condition for a homomorphism to be annihilator preserving homomorphism. We introduced the concept of a normal ideal in a GADL L and proved that the set N(L) of all normal ideals of L forms a Boolean algebra.

引用

页码：35 / 46

页数：12

共 10 条

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[10] Cofinality of normal ideals on [λ]<κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[\lambda ]^{<\kappa }$$\end{document} I
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