A generalization of reduced rings
Yıl: 2012 Cilt: 41 Sayı: 5 Sayfa Aralığı: 689 - 696 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
A generalization of reduced rings
Öz: Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigidif for any a,b ∈ R, $a^2 b = 0$ implies ab belongs to the center of R.Since every reduced ring is central rigid, we study sufficient conditions for central rigid rings to be reduced. We prove that some resu lts of reduced rings can be extended to central rigid rings for this general setting, in particular, it is shown that every reduced ring is central rigid, every central rigid ring is central reversible, central sem icommutative, 2-primal, abelian and so directly finite.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA | kose h, Ungor B, HALICIOĞLU S (2012). A generalization of reduced rings. , 689 - 696. |
Chicago | kose handan,Ungor Burcu,HALICIOĞLU Sait A generalization of reduced rings. (2012): 689 - 696. |
MLA | kose handan,Ungor Burcu,HALICIOĞLU Sait A generalization of reduced rings. , 2012, ss.689 - 696. |
AMA | kose h,Ungor B,HALICIOĞLU S A generalization of reduced rings. . 2012; 689 - 696. |
Vancouver | kose h,Ungor B,HALICIOĞLU S A generalization of reduced rings. . 2012; 689 - 696. |
IEEE | kose h,Ungor B,HALICIOĞLU S "A generalization of reduced rings." , ss.689 - 696, 2012. |
ISNAD | kose, handan vd. "A generalization of reduced rings". (2012), 689-696. |
APA | kose h, Ungor B, HALICIOĞLU S (2012). A generalization of reduced rings. Hacettepe Journal of Mathematics and Statistics, 41(5), 689 - 696. |
Chicago | kose handan,Ungor Burcu,HALICIOĞLU Sait A generalization of reduced rings. Hacettepe Journal of Mathematics and Statistics 41, no.5 (2012): 689 - 696. |
MLA | kose handan,Ungor Burcu,HALICIOĞLU Sait A generalization of reduced rings. Hacettepe Journal of Mathematics and Statistics, vol.41, no.5, 2012, ss.689 - 696. |
AMA | kose h,Ungor B,HALICIOĞLU S A generalization of reduced rings. Hacettepe Journal of Mathematics and Statistics. 2012; 41(5): 689 - 696. |
Vancouver | kose h,Ungor B,HALICIOĞLU S A generalization of reduced rings. Hacettepe Journal of Mathematics and Statistics. 2012; 41(5): 689 - 696. |
IEEE | kose h,Ungor B,HALICIOĞLU S "A generalization of reduced rings." Hacettepe Journal of Mathematics and Statistics, 41, ss.689 - 696, 2012. |
ISNAD | kose, handan vd. "A generalization of reduced rings". Hacettepe Journal of Mathematics and Statistics 41/5 (2012), 689-696. |