SavedAdd your journal

Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

Quasi 2-absorbing second modules

H. ANSARİ-TOROGHY
F. FARSHADİFAR
Pages
1090–1096
Publication Date
2019-02-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we will introduce the notion of quasi 2-absorbing second modules over a commutative ring and obtain some basic properties of this class of modules.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we will introduce the notion of quasi 2-absorbing second modules over a commutative ring and obtain some basic properties of this class of modules.
📊
Key Findings & Data:In this paper, we will introduce the notion of quasi 2-absorbing second modules over a commutative ring and obtain some basic properties of this class of modules.
💡
Conclusion & Impact:In this paper, we will introduce the notion of quasi 2-absorbing second modules over a commutative ring and obtain some basic properties of this class of modules.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:2-absorbing ideal · strongly 2-absorbing second submodule · quasi 2-absorbing second module

Abstract

In this paper, we will introduce the notion of quasi 2-absorbing second modules over a commutative ring and obtain some basic properties of this class of modules.

🔖

Cite This Article

ANSARİ-TOROGHY, H., FARSHADİFAR, F. (2019). Quasi 2-absorbing second modules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 1, 1090–1096. https://ajindex.com/articles/747125

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  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. Ansari-Toroghy, H. and Farshadifar, F. On the dual notion of prime submodules, Algebra Colloq. 19 (Spec 1)(2012), 1109-1116.
  3. Ansari-Toroghy, H. and Farshadifar, F., On the dual notion of prime submodules (II), Mediterr. J. Math. 9 (2) (2012), 329-338.
  4. Ansari-Toroghy, H. and Farshadifar, F., The Zariski topology on the second spectrum of a module, Algebra Colloq. 21 (04) (2014), 671-688.
  5. Ansari-Toroghy, H. and F. Farshadifar, On the dual notion of prime radicals of submodules, Asian Eur. J. Math. 6 (2) (2013), 1350024 (11 pages). Ansari-Toroghy, H. and Farshadifar, F., Some generalizations of second submodules, Palestine Journal of Mathematics, to appear. Badawi, A., On 2-absorbing ideals of commutative rings, Bull. Austral. Math. Soc. 75 (2007), 417-429.
  6. Badawi, A., Tekir, U. and Yetkin, E., On 2-absorbing primary ideals in commutative rings. Bull. Korean Math. Soc. 51 (4) (2014), 1163?1173. Barnard, A., Multiplication modules, J. Algebra 71 (1981), 174-178.
  7. Ceken, S., Alkan, M. and Smith, P.F., Second modules over noncommutative rings, Comm. Algebra, 41(1) (2013), 83-98.
  8. Ceken, S., Alkan, M. and Smith, P.F., The dual notion of the prime radical of a module, J. Algebra 392 (2013), 265-275.
  9. Darani, A. Y. and Soheilnia, F., 2-absorbing and weakly 2-absorbing submoduels, Thai J. Math. 9(3) (2011), 577--584. Dauns,J., Prime submodules, J. Reine Angew. Math. 298 (1978), 156--181. Fuchs, L., Heinzer, W. and Olberding, B., Commutative ideal theory without finiteness conditions: Irreducibility in the quotient filed, in: Abelian Groups, Rings, Modules, and Homological Algebra, Lect. Notes Pure Appl. Math. 249 (2006), 121--145. Payrovi, Sh. and Babaei, S., On the 2-absorbing ideals, Int. Math. Forum 7 (2012), 265-271.
  10. Payrovi, Sh. and Babaei, S., On 2-absorbing submodules, Algebra Collq., 19 (2012), 913-920.
  11. Sharp, R. Y., Step in Commutative Algebra, Cambridge University Press, 1990.
  12. Tekir, U., Koc, S. Oral, K.H. and Shum, K.P., On 2-absorbing quasi-primary ideals in commutative rings, Communications in Mathematics and Statistics, 4 (1) (2016), 55-62.
  13. Yassemi, S., The dual notion of prime submodules, Arch. Math. (Brno) 37 (2001), 273--278.