# L-zero-divisor graphs of direct products of L-commutative rings

S. Ebrahimi Atani; M. Shajari Kohan

Discussiones Mathematicae - General Algebra and Applications (2011)

- Volume: 31, Issue: 2, page 159-174
- ISSN: 1509-9415

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topS. Ebrahimi Atani, and M. Shajari Kohan. "L-zero-divisor graphs of direct products of L-commutative rings." Discussiones Mathematicae - General Algebra and Applications 31.2 (2011): 159-174. <http://eudml.org/doc/276609>.

@article{S2011,

abstract = {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.},

author = {S. Ebrahimi Atani, M. Shajari Kohan},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {μ-zero-divisor; L-zero-divisor graph; μ-diameter; μ-girth; finite direct products; -zero-divisor; -zero-divisor graph; -diameter; -girth},

language = {eng},

number = {2},

pages = {159-174},

title = {L-zero-divisor graphs of direct products of L-commutative rings},

url = {http://eudml.org/doc/276609},

volume = {31},

year = {2011},

}

TY - JOUR

AU - S. Ebrahimi Atani

AU - M. Shajari Kohan

TI - L-zero-divisor graphs of direct products of L-commutative rings

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2011

VL - 31

IS - 2

SP - 159

EP - 174

AB - 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.

LA - eng

KW - μ-zero-divisor; L-zero-divisor graph; μ-diameter; μ-girth; finite direct products; -zero-divisor; -zero-divisor graph; -diameter; -girth

UR - http://eudml.org/doc/276609

ER -

## References

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