KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Classical and strongly classical 2-absorbing second submodules

Faranak Farshadifar(‎Farhangian University)0000-0001-7600-994X
Habibollah Ansari-toroghy(‎University of Guilan)0000-0001-7310-0924
Sayfa
—
Yayın Tarihi
2020-06-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

‎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.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:‎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.
📊
Temel Bulgular & Veri:‎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.
💡
Sonuç & Katkı:‎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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:2-absorbing second submodule‎ · ‎classical 2-absorbing second submodule‎

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.

🔖

Bu Makaleye Atıf Yap

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, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.550201

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (21)

  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.
  9. Ceken, S., Alkan, M. and Smith, P.F., The dual notion of the prime radical of a module, J. Algebra, 392 (2013), 265-275.
  10. Darani, A. Y. and Soheilnia, F., 2-absorbing and weakly 2-absorbing submoduels, Thai J. Math. 9(3) (2011), 577-584.
  11. Dauns, J., Prime submodules, J. Reine Angew. Math., 298 (1978), 156--181.
  12. 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 in Pure Appl. Math. 249 (2006), 121--145.
  13. Kaplansky, I., Commutative rings, University of Chicago Press, 1978.
  14. Mostafanasab, H., Tekir, U. and Oral, K.H., Classical 2-absorbing submodules of modules over commutative rings, European Journal of Pure and Applied Mathematics, 8(3) (2015), 417-430.
  15. Payrovi, Sh. and Babaei, S., On 2-absorbing submodules, Algebra Collq. 19 (2012), 913-920.
  16. Quartararo, P. and Butts, H. S., Finite unions of ideals and modules, Proc. Amer. Math. Soc. 52 (1975), 91-96.
  17. Sharpe, D.W. and Vamos, P., Injective modules, Cambridge University Press, 1972.
  18. Yassemi, S., The dual notion of prime submodules, Arch. Math. (Brno) 37 (2001), 273--278.
  19. Yassemi, S., The dual notion of the cyclic modules, Kobe. J. Math. 15 (1998), 41--46.
  20. Dauns, J., Prime submodules, J. Reine Angew. Math., 298 (1978), 156--181.
  21. 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 in Pure Appl. Math. 249 (2006), 121--145.