Zero-divisor graphs of lower dismantlable lattices II-Reference-Cited by-同舟云学术

Zero-divisor graphs of lower dismantlable lattices II

Published:2018-02-01 Issue:1 Volume:68 Page:225-238
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Patil Avinash¹,Waphare B. N.²,Joshi Vinayak²

Affiliation:

1. Department of Mathematics , Garware College of Commerce , Karve Road , Pune - 411004 , India

2. Department of Mathematics, Center for Advanced Study in Mathematics , Savitribai Phule Pune University , Pune - 411007 , India

Abstract

Abstract In this paper, we continue our study of the zero-divisor graphs of lower dismantlable lattices that was started in [PATIL, A.—WAPHARE, B. N.—JOSHI, V.—POURALI, H. Y.: Zero-divisor graphs of lower dismantlable lattices I, Math. Slovaca 67 (2017), 285–296]. The present paper mainly deals with an Isomorphism Problem for the zero-divisor graphs of lattices. In fact, we prove that the zero-divisor graphs of lower dismantlable lattices with the greatest element 1 as join-reducible are isomorphic if and only if the lattices are isomorphic.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0095/pdf

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