ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS-Reference-Cited by-同舟云学术

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ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS

Published:2012-09 Issue:03 Volume:05 Page:1250037
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Joshi Vinayak¹,Waphare B. N.¹,Pourali H. Y.¹

Affiliation:

1. Department of Mathematics, University of Pune, Pune-411007, India

Abstract

In this paper, we introduce the concepts of primal and weakly primal ideals in lattices. Further, the diameter of the zero divisor graph of a lattice with respect to a non-primal ideal is determined.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557112500374

Reference9 articles.

1. On primal and weakly primal ideals over commutative semirings

2. ZERO-DIVISOR GRAPHS WITH RESPECT TO PRIMAL AND WEAKLY PRIMAL IDEALS

3. Coloring of commutative rings

4. On primal ideals

5. Zero Divisor Graph of a Poset with Respect to an Ideal

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals;IRAN J MATH CHEM;2024

2. Total graph of a lattice;Indian Journal of Pure and Applied Mathematics;2024-03-28

3. Some properties of the weak product of graphs on lattices;Asian-European Journal of Mathematics;2019-07-02

4. Zero-divisor graphs of lower dismantlable lattices II;Mathematica Slovaca;2018-02-01

5. Zero-divisor graphs of lower dismantlable lattices I;Mathematica Slovaca;2017-04-01

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