Journals / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 3

On the P -interiors of submodules of Artinian modules

Pages
675–682
Publication Date
2022-10-18
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 thispaper, we study the dual notion of saturations (that is, P -interiors) ofsubmodules of M and obtain some related results

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let R be a commutative ring and M an Artinian R-module.
📊
Key Findings & Data:Let R be a commutative ring and M an Artinian R-module.
💡
Conclusion & Impact:In thispaper, we study the dual notion of saturations (that is, P -interiors) ofsubmodules of M and obtain some related results
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let R be a commutative ring and M an Artinian R-module. In thispaper, we study the dual notion of saturations (that is, P -interiors) ofsubmodules of M and obtain some related results

🔖

Cite This Article

ANSARI-TOROGHY, H., FARSHADIAR, F., POURMORTAZAVI, S. S. (2022). On the P -interiors of submodules of Artinian modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 3, 675–682. https://ajindex.com/articles/530096

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. H. Ansari-Toroghy and F. Farshadifar, On the dual notion of prime submodules, Algebra Colloq. 19 (Spec 1)(2012), 1109-1116. H. Ansari-Toroghy and F. Farshadifar,The Zariski topology on the second spectrum of a module, Algebra Colloq. 21 (4) (2014), 671-688.
  2. H. Ansari-Toroghy and F. Farshadifar, On the dual notion of prime submodules (II), Mediterr. J. Math., 9 (2) (2012), 327-336.
  3. H. Ansari-Toroghy, F. Farshadifar, S.S. Pourmortazavi, and F. Khaliphe On secondary mod- ules, Int. J. Algebra, 6 (16) (2012), 769-774.
  4. S. Ceken, M. Alkan, P.F. Smith, The dual notion of the prime radical of a module, J. Algebra. 392 (2013), 265-275. [6] L. Fuchs, W. Heinzer, and B. Olberding, Commutative ideal theory without finiteness con- ditions: Irreducibility in the quotient filed, in: Abelian Groups, Rings, Modules, and Homo- logical Algebra, Lect. Notes Pure Appl. Math. 249 (2006), 121-145.
  5. C.P. Lu, Saturations of submodules, Comm. Algebra 31 (6) (2003), 2655-2673.
  6. R.L. McCasland and P.F. Smith, Prime submodules of Noetherian modules, Rocky Mountain J. Math 23 (3) (1993), 1041-1062.
  7. R.L. McCasland and P.F. Smith, Generalised associated primes and radicals of submodules, Int. Electron. J. Algebra 4 (2008), 159-176.
  8. I.G. Macdonald, Secondary representation of modules over a commutative ring, Sympos. Math. XI (1973), 23-43.
  9. L. Melkersson and P. Schenzel, The co-localization of an Artinian module, Proc. Edinburgh Math. 38 (2) (1995), 121-131. [12] S. Yassemi, Coassociated primes, Comm. Algebra. 23 (1995), 1473-1498.
  10. S. Yassemi, The dual notion of prime submodules, Arch. Math. (Brno) 37 (2001), 273-278. [14] S. Yassemi, The dual notion of the cyclic modules, Kobe. J. Math. 15 (1998), 41-46.