Geodesic
L-zero-divisor graphs of direct products of L-commutative rings
Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 159-174.

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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.
Keywords: μ-zero-divisor, L-zero-divisor graph, μ-diameter, μ-girth, finite direct products 
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Atani, S.; Kohan, M. L-zero-divisor graphs of direct products of L-commutative rings. Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 159-174. http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a2/

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