Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 5

Quasi-$n$-absorbing and semi-$n$-absorbing preradicals

Sayfa
—
Yayın Tarihi
2019-10-08
🏛️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)

Also, we study the concepts of quasi-$n$-absorbing submodules and of semi-$n$-absorbing submodules and their relations with quasi-$n$-absorbing preradicals and semi-$n$-absorbing preradicals.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of this paper is to introduce the notions of quasi-$n$-absorbing preradicals and of semi-$n$-absorbing preradicals.
📊
Temel Bulgular & Veri:These notions are inspired by applying the concept of $n$-absorbing preradicals to semiprime preradicals.
💡
Sonuç & Katkı:Also, we study the concepts of quasi-$n$-absorbing submodules and of semi-$n$-absorbing submodules and their relations with quasi-$n$-absorbing preradicals and semi-$n$-absorbing preradicals.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:lattice · preradical · quasi-$n$-absorbing

Abstract

The aim of this paper is to introduce the notions of quasi-$n$-absorbing preradicals and of semi-$n$-absorbing preradicals. These notions are inspired by applying the concept of $n$-absorbing preradicals to semiprime preradicals. Also, we study the concepts of quasi-$n$-absorbing submodules and of semi-$n$-absorbing submodules and their relations with quasi-$n$-absorbing preradicals and semi-$n$-absorbing preradicals.

🔖

Bu Makaleye Atıf Yap

Mostafanasab, H., Darani, A. Y. (2019). Quasi-$n$-absorbing and semi-$n$-absorbing preradicals. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 5. https://doi.org/10.15672/hujms.592974

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (22)

  1. D.F. Anderson and A. Badawi, On n-absorbing ideals of commutative rings, Comm. Algebra 39, 1646–1672, 2011.
  2. A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math. Soc. 75, 417–429, 2007.
  3. J. Beachy, M-injective modules and prime M-ideals, Comm. Algebra 30 (10), 4649– 4676, 2002.
  4. L. Bican, P. Jambor, T. Kepka and P. Nemec, Preradicals, Comment. Math. Univ. Carolinae 15 (1), 75–83, 1974.
  5. L. Bican, P. Jambor, T. Kepka and P. Nemec, Prime and coprime modules, Fund. Math. 107, 33–45, 1980.
  6. L. Bican, T. Kepka, and P. Nemec, Rings, Modules and Preradicals, Marcel Dekker, New York, 1982.
  7. A.I. Kashu, On some operations in the lattice of submodules determined by preradi- cals, Bull. Acad. Stiinte Repub. Mold. Mat. 2 (66), 5–16, 2011.
  8. T.Y. Lam, Lectures on Modules and Rings, Graduate Texts in Mathematics, Springer-Verlag, 1998.
  9. F. Raggi, J. Ríos, H. Rincón and R. Fernández-Alonso, Basic preradicals and main injective modules, J. Algebra Appl. 8 (1), 1–16, 2009.
  10. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, The lattice structure of preradicals, Comm. Algebra 30 (3), 1533–1544, 2002.
  11. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, The lattice structure of preradicals II: partitions, J. Algebra Appl. 1 (2), 201–214, 2002.
  12. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, The lattice structure of preradicals III: operators, J. Pure and Applied Algebra 190, 251–265, 2004.
  13. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, Prime and irreducible preradicals, J. Algebra Appl. 4 (4), 451–466, 2005.
  14. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, Semiprime preradicals, Comm. Algebra 37, 2811–2822, 2009.
  15. B. Stenström, Rings of Quotients, Die Grundlehren der Mathematischen Wis- senschaften, Band 217, Springer Verlag, Berlin, 1975.
  16. D. Keskin Tütüncü and Y. Kuratomi, On mono-injective modules and mono-ojective modules, Math. J. Okayama Univ. 55, 117–129, 2013.
  17. R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
  18. A. Yousefian Darani, and H. Mostafanasab, Co-2-absorbing preradicals and submod- ules, J. Algebra Appl. 14 (7), 1550113 (23 pages), 2015.
  19. A. Yousefian Darani and H. Mostafanasab, On 2-absorbing preradicals, J. Algebra Appl. 14 (2), 1550017 (22 pages), 2015.
  20. A. Yousefian Darani and F. Soheilnia, 2-absorbing and weakly 2-absorbing submod- uels, Thai J. Math. 9 (3), 577–584, 2011.
  21. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, The lattice structure of preradicals II: partitions, J. Algebra Appl. 1 (2), 201–214, 2002.
  22. F. Raggi, J. Ríos, H. Rincón, R. Fernández-Alonso and C. Signoret, The lattice structure of preradicals III: operators, J. Pure and Applied Algebra 190, 251–265, 2004.