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: Matematik İstatistik ve Olasılık
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.