KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Algebra / 2017 / Cilt: 22 - Sayı: 22

On Some Generalizations of Reversible and Semicommutative Rings

Arnab BHATTACHARJEE
Uday Shankar CHAKRABORTY
Sayfa
11–27
Yayın Tarihi
2017-07-11
DOI
—
🏛️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)

Soc., 52(1) (2015), 247-261] has beenanswered.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The concept of strongly central reversible rings has beenintroduced in this paper.
📊
Temel Bulgular & Veri:It has been shown that the class ofstrongly central reversible rings properly contains the class ofstrongly reversible rings and is properly contained in the classof central reversible rings.
💡
Sonuç & Katkı:Soc., 52(1) (2015), 247-261] has beenanswered.
🔬Tür:Araştırma Makalesi
📍Kapsam:2015 Verileri
⚙️Değişkenler:Strongly central reversible ring · strongly central semicommutative ring

Abstract

The concept of strongly central reversible rings has beenintroduced in this paper. It has been shown that the class ofstrongly central reversible rings properly contains the class ofstrongly reversible rings and is properly contained in the classof central reversible rings. Various properties of theabove-mentioned rings have been investigated. The concept ofstrongly central semicommutative rings has also been introducedand its relationships with other rings have been studied. Finallyan open question raised in [D. W. Jung, N. K. Kim, Y. Lee and S.J. Ryu, Bull. Korean Math. Soc., 52(1) (2015), 247-261] has beenanswered.

🔖

Bu Makaleye Atıf Yap

BHATTACHARJEE, A., CHAKRABORTY, U. S. (2017). On Some Generalizations of Reversible and Semicommutative Rings. International Electronic Journal of Algebra, Cilt: 22 - Sayı: 22, 11–27. https://ajindex.com/articles/832342

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (22)

  1. N. Agayev, A. Harmanci and S. Halicioglu, Extended Armendariz rings, Alge- bras Groups Geom., 26(4) (2009), 343-354.
  2. N. Agayev, G. Gungoroglu, A. Harmanci and S. Halicioglu, Central Armen- dariz rings, Bull. Malays. Math. Sci. Soc., 34(1) (2011), 137-145.
  3. D. D. Anderson and V. Camillo, Armendariz rings and Gaussian rings, Comm. Algebra, 26(7) (1998), 2265-2272.
  4. R. Antoine, Nilpotent elements and Armendariz rings, J. Algebra, 319(8) (2008), 3128-3140.
  5. H. J. Cha, D. W. Jung, H. K. Kim, J. A. Kim, C. I. Lee, Y. Lee, S. B. Nam, S. J. Ryu, Y. Seo, H. J. Sung and S. J. Yun, On a ring property generalizing power- Armendariz and central Armendariz rings, Korean J. Math., 23(3) (2015), 337-355.
  6. W. Chen, On nil-semicommutative rings, Thai J. Math., 9(1) (2011), 39-47.
  7. P. M. Cohn, Reversible rings, Bull. London Math. Soc., 31(6) (1999), 641-648.
  8. C. Huh, Y. Lee and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra, 30(2) (2002), 751-761.
  9. D. W. Jung, N. K. Kim, Y. Lee and S. J. Ryu, On properties related to re- versible rings, Bull. Korean Math. Soc., 52(1) (2015), 247-261.
  10. G. Kafkas, B. Ungor, S. Halicioglu and A. Harmanci, Generalized symmetric rings, Algebra Discrete Math., 12(2) (2011), 72-84.
  11. N. K. Kim and Y. Lee, Armendariz rings and reduced rings, J. Algebra, 223(2) (2000), 477-488.
  12. N. K. Kim and Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra, 185(1-3) (2003), 207-223.
  13. N. K. Kim, T. K. Kwak and Y. Lee, Semicommutative property on nilpotent products, J. Korean Math. Soc., 51(6) (2014), 1251-1267.
  14. H. Kose, B. Ungor, S. Halicioglu and A. Harmanci, A generalization of re- versible rings, Iran. J. Sci. Technol. Trans. A Sci., 38(1) (2014), 43-48.
  15. J. Lambek, On the representation of modules by sheaves of factor modules, Canad. Math. Bull., 14 (1971), 359-368.
  16. L. Liang, L. Wang and Z. Liu, On a generalization of semicommutative rings, Taiwanese J. Math., 11(5) (2007), 1359-1368.
  17. L. Motais de Narbonne, Anneaux semi-commutatifs et unis riels anneaux dont les id aux principaux sont idempotents, Proceedings of the 106th National Congress of Learned Societies (Perpignan, 1981),
  18. Bib. Nat., Paris (1982), 71-73.
  19. P. P. Nielsen, Semi-commutativity and the McCoy condition, J. Algebra, 298(1) (2006), 134-141.
  20. L. Ouyang and H. Chen, On weak symmetric rings, Comm. Algebra, 38(2) (2010), 697-713.
  21. T. Ozen, N. Agayev and A. Harmanci, On a class of semicommutative rings, Kyungpook Math. J., 51(3) (2011), 283-291.
  22. Y. Qu and J.Wei, Some notes on nil