On L-ideal-based L-zero-divisor graphs

S. Ebrahimi Atani; M. Shajari Kohan

Discussiones Mathematicae - General Algebra and Applications (2011)

  • Volume: 31, Issue: 2, page 127-145
  • ISSN: 1509-9415

Abstract

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In a manner analogous to a commutative ring, the L-ideal-based L-zero-divisor graph of a commutative ring R can be defined as the undirected graph Γ(μ) for some L-ideal μ of R. The basic properties and possible structures of the graph Γ(μ) are studied.

How to cite

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S. Ebrahimi Atani, and M. Shajari Kohan. "On L-ideal-based L-zero-divisor graphs." Discussiones Mathematicae - General Algebra and Applications 31.2 (2011): 127-145. <http://eudml.org/doc/276474>.

@article{S2011,
abstract = {In a manner analogous to a commutative ring, the L-ideal-based L-zero-divisor graph of a commutative ring R can be defined as the undirected graph Γ(μ) for some L-ideal μ of R. The basic properties and possible structures of the graph Γ(μ) are studied.},
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; μ-nilradical ideal; μ-domainlike ring; -zero-divisor; -zero-divisor graph; -diameter; -girth; -nilradical ideal; -domainlike ring},
language = {eng},
number = {2},
pages = {127-145},
title = {On L-ideal-based L-zero-divisor graphs},
url = {http://eudml.org/doc/276474},
volume = {31},
year = {2011},
}

TY - JOUR
AU - S. Ebrahimi Atani
AU - M. Shajari Kohan
TI - On L-ideal-based L-zero-divisor graphs
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2011
VL - 31
IS - 2
SP - 127
EP - 145
AB - In a manner analogous to a commutative ring, the L-ideal-based L-zero-divisor graph of a commutative ring R can be defined as the undirected graph Γ(μ) for some L-ideal μ of R. The basic properties and possible structures of the graph Γ(μ) are studied.
LA - eng
KW - μ-Zero-divisor; L-zero-divisor graph; μ-diameter; μ-girth; μ-nilradical ideal; μ-domainlike ring; -zero-divisor; -zero-divisor graph; -diameter; -girth; -nilradical ideal; -domainlike ring
UR - http://eudml.org/doc/276474
ER -

References

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