Research Article

Classical and strongly classical 2-absorbing second submodules

Volume: 69 Number: 1 June 30, 2020
EN

Classical and strongly classical 2-absorbing second submodules

Abstract

‎In this paper‎, ‎we will introduce the concept of classical (resp‎. ‎strongly classical) 2-absorbing second submodules of modules over a commutative ring as a generalization of 2-absorbing (resp‎. ‎strongly 2-absorbing) second submodules and investigate some basic properties of these classes of modules‎.

Keywords

References

  1. Ansari-Toroghy, H. and Farshadifar, F., The dual notion of some generalizations of prime submodules, Comm. Algebra, 39 (2011), 2396-2416.
  2. Ansari-Toroghy, H. and Farshadifar, F., The dual notion of multiplication modules, Taiwanese J. Math. 11 (4) (2007), 1189--1201.
  3. Ansari-Toroghy, H. and Farshadifar, F., On the dual notion of prime submodules, Algebra Colloq. 19 (Spec 1)(2012), 1109-1116.
  4. Ansari-Toroghy, H. and Farshadifar, F., On the dual notion of prime radicals of submodules, Asian Eur. J. Math. 6 (2) (2013), 1350024 (11 pages).
  5. Ansari-Toroghy, H. and Farshadifar, F., Some generalizations of second submodules, Palestine Journal of Mathematics, 8(2) (2019), 1-10.
  6. Ansari-Toroghy, H., Farshadifar, F., and Pourmortazavi, S. S., On the P-interiors of submodules of Artinian modules, Hacettepe Journal of Mathematics and Statistics, 45(3) (2016), 675-682.
  7. Badawi, A., On 2-absorbing ideals of commutative rings, Bull. Austral. Math. Soc. 75 (2007), 417-429.
  8. Barnard, A., Multiplication modules, J. Algebra, 71 (1981), 174-178.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

April 6, 2019

Acceptance Date

September 3, 2019

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Farshadifar, F., & Ansari-toroghy, H. (2020). Classical and strongly classical 2-absorbing second submodules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 123-136. https://doi.org/10.31801/cfsuasmas.550201
AMA
1.Farshadifar F, Ansari-toroghy H. Classical and strongly classical 2-absorbing second submodules. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):123-136. doi:10.31801/cfsuasmas.550201
Chicago
Farshadifar, Faranak, and Habibollah Ansari-toroghy. 2020. “Classical and Strongly Classical 2-Absorbing Second Submodules”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 123-36. https://doi.org/10.31801/cfsuasmas.550201.
EndNote
Farshadifar F, Ansari-toroghy H (June 1, 2020) Classical and strongly classical 2-absorbing second submodules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 123–136.
IEEE
[1]F. Farshadifar and H. Ansari-toroghy, “Classical and strongly classical 2-absorbing second submodules”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 123–136, June 2020, doi: 10.31801/cfsuasmas.550201.
ISNAD
Farshadifar, Faranak - Ansari-toroghy, Habibollah. “Classical and Strongly Classical 2-Absorbing Second Submodules”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 123-136. https://doi.org/10.31801/cfsuasmas.550201.
JAMA
1.Farshadifar F, Ansari-toroghy H. Classical and strongly classical 2-absorbing second submodules. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:123–136.
MLA
Farshadifar, Faranak, and Habibollah Ansari-toroghy. “Classical and Strongly Classical 2-Absorbing Second Submodules”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 123-36, doi:10.31801/cfsuasmas.550201.
Vancouver
1.Faranak Farshadifar, Habibollah Ansari-toroghy. Classical and strongly classical 2-absorbing second submodules. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):123-36. doi:10.31801/cfsuasmas.550201

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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