Research Article

On the strongly annihilating-submodule graph of a module

Volume: 51 Number: 2 April 1, 2022
TR EN

On the strongly annihilating-submodule graph of a module

Abstract

In this paper we continue to study the strongly annihilating-submodule graph. In addition to providing the more properties of this graph, we compare extensively the properties of this graph with the annihilating-submodule graph.

Keywords

References

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  2. [2] G. Aalipour, S. Akbari, R. Nikandish, M.J. Nikmehr and F. Shaveisi, On the coloring of the annihilating-ideal graph of a commutative ring, Discrete Math. 312, 2620-2626, 2012.
  3. [3] S. Akbari, H.R. Maimani and S. Yassemi, When a zero-divisor graph is planar or a complete r-partite graph, J. Algebra, 270, 169-180, 2003.
  4. [4] S. Akbari and A. Mohammadian, Zero-divisor graphs of non-commutative rings, J. Algebra, 296, 462-479, 2006.
  5. [5] F. Aliniaeifard, M. Behboodi, E. Mehdi-nezhad and A.M. Rahimi, The annihilating- ideal graph of a commutative ring with respect to an ideal, Comm. Algebra , 42, 2269-2284, 2014.
  6. [6] D.F. Anderson, R. Levy and J. Shapiro J, Zero-divisor graphs, von Neumann regular rings, and Boolean algebras, J. Pure Appl. Algebra, 180, 221-241, 2003.
  7. [7] D.F. Anderson and P.S. Livingston, The zero-divisor graph of a commutative ring, J. Algebra , 217, 434-447, 1999.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ahadollah Farzı-safarabadı This is me
Iran

Publication Date

April 1, 2022

Submission Date

October 16, 2020

Acceptance Date

September 27, 2021

Published in Issue

Year 2022 Volume: 51 Number: 2

APA
Beyranvand, R., & Farzı-safarabadı, A. (2022). On the strongly annihilating-submodule graph of a module. Hacettepe Journal of Mathematics and Statistics, 51(2), 443-454. https://doi.org/10.15672/hujms.810976
AMA
1.Beyranvand R, Farzı-safarabadı A. On the strongly annihilating-submodule graph of a module. Hacettepe Journal of Mathematics and Statistics. 2022;51(2):443-454. doi:10.15672/hujms.810976
Chicago
Beyranvand, Reza, and Ahadollah Farzı-safarabadı. 2022. “On the Strongly Annihilating-Submodule Graph of a Module”. Hacettepe Journal of Mathematics and Statistics 51 (2): 443-54. https://doi.org/10.15672/hujms.810976.
EndNote
Beyranvand R, Farzı-safarabadı A (April 1, 2022) On the strongly annihilating-submodule graph of a module. Hacettepe Journal of Mathematics and Statistics 51 2 443–454.
IEEE
[1]R. Beyranvand and A. Farzı-safarabadı, “On the strongly annihilating-submodule graph of a module”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 2, pp. 443–454, Apr. 2022, doi: 10.15672/hujms.810976.
ISNAD
Beyranvand, Reza - Farzı-safarabadı, Ahadollah. “On the Strongly Annihilating-Submodule Graph of a Module”. Hacettepe Journal of Mathematics and Statistics 51/2 (April 1, 2022): 443-454. https://doi.org/10.15672/hujms.810976.
JAMA
1.Beyranvand R, Farzı-safarabadı A. On the strongly annihilating-submodule graph of a module. Hacettepe Journal of Mathematics and Statistics. 2022;51:443–454.
MLA
Beyranvand, Reza, and Ahadollah Farzı-safarabadı. “On the Strongly Annihilating-Submodule Graph of a Module”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 2, Apr. 2022, pp. 443-54, doi:10.15672/hujms.810976.
Vancouver
1.Reza Beyranvand, Ahadollah Farzı-safarabadı. On the strongly annihilating-submodule graph of a module. Hacettepe Journal of Mathematics and Statistics. 2022 Apr. 1;51(2):443-54. doi:10.15672/hujms.810976

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