AN IDEAL THEORETIC APPROACH TO COMPLETE PARTITE ZERO-DIVISOR GRAPHS OF POSETS-Reference-Cited by-同舟云学术

AN IDEAL THEORETIC APPROACH TO COMPLETE PARTITE ZERO-DIVISOR GRAPHS OF POSETS

Published:2012-12-16 Issue:02 Volume:12 Page:1250148
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ALIZADEH M.¹,MAIMANI H. R.²³,POURNAKI M. R.⁴³,YASSEMI S.¹³

Affiliation:

1. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

2. Mathematics Section, Department of Basic Sciences, Shahid Rajaee Teacher Training University, P.O. Box 16785-163, Tehran, Iran

3. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

4. Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11155-9415, Tehran, Iran

Abstract

In this paper, we characterize complete partite zero-divisor graphs of posets via the ideals of the posets. In particular, for complete bipartite zero-divisor graphs, we give a characterization based on the prime ideals of the posets.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812501484

Reference10 articles.

1. Beck′s Coloring of a Commutative Ring

2. The Zero-Divisor Graph of a Commutative Ring

3. Coloring of commutative rings

4. Introduction to Lattices and Order

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