L-zero-divisor graphs of L-commutative rings have been introduced and studied in [5]. Here we consider L-zero-divisor graphs of a finite direct product of L-commutative rings. Specifically, we look at the preservation, or lack thereof, of the diameter and girth of the L-ziro-divisor graph of a L-ring when extending to a finite direct product of L-commutative rings.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1180,
author = {S. Ebrahimi Atani and M. Shajari Kohan},
title = {L-zero-divisor graphs of direct products of L-commutative rings},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {31},
year = {2011},
pages = {159-174},
zbl = {1255.05095},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1180}
}
S. Ebrahimi Atani; M. Shajari Kohan. L-zero-divisor graphs of direct products of L-commutative rings. Discussiones Mathematicae - General Algebra and Applications, Tome 31 (2011) pp. 159-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1180/
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