Yıl: 2016 Cilt: 65 Sayı: 1 Sayfa Aralığı: 19 - 33 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

NIL-REFLEXIVE RINGS

Öz:
In this paper, we deal with a new approach to re*exive propertyfor rings by using nilpotent elements, in this direction we introduce nil-re*exiverings. It is shown that the notion of nil-re*exivity is a generalization of thatof nil-semicommutativity. Examples are given to show that nil-re*exive ringsneed not be re*exive and vice versa, and nil-re*exive rings but not semicommutative are presented. We also proved that every ring with identity is weaklyre*exive de...ned by Zhao, Zhu and Gu. Moreover, we investigate basic properties of nil-re*exive rings and provide some source of examples for this classof rings. We consider some extensions of nil-re*exive rings, such as trivialextensions, polynomial extensions and Nagata extensions.
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, Harmanci A (2016). NIL-REFLEXIVE RINGS. , 19 - 33.
Chicago kose handan,Ungor Burcu,Harmanci Abdullah NIL-REFLEXIVE RINGS. (2016): 19 - 33.
MLA kose handan,Ungor Burcu,Harmanci Abdullah NIL-REFLEXIVE RINGS. , 2016, ss.19 - 33.
AMA kose h,Ungor B,Harmanci A NIL-REFLEXIVE RINGS. . 2016; 19 - 33.
Vancouver kose h,Ungor B,Harmanci A NIL-REFLEXIVE RINGS. . 2016; 19 - 33.
IEEE kose h,Ungor B,Harmanci A "NIL-REFLEXIVE RINGS." , ss.19 - 33, 2016.
ISNAD kose, handan vd. "NIL-REFLEXIVE RINGS". (2016), 19-33.
APA kose h, Ungor B, Harmanci A (2016). NIL-REFLEXIVE RINGS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 65(1), 19 - 33.
Chicago kose handan,Ungor Burcu,Harmanci Abdullah NIL-REFLEXIVE RINGS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 65, no.1 (2016): 19 - 33.
MLA kose handan,Ungor Burcu,Harmanci Abdullah NIL-REFLEXIVE RINGS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.65, no.1, 2016, ss.19 - 33.
AMA kose h,Ungor B,Harmanci A NIL-REFLEXIVE RINGS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2016; 65(1): 19 - 33.
Vancouver kose h,Ungor B,Harmanci A NIL-REFLEXIVE RINGS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2016; 65(1): 19 - 33.
IEEE kose h,Ungor B,Harmanci A "NIL-REFLEXIVE RINGS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 65, ss.19 - 33, 2016.
ISNAD kose, handan vd. "NIL-REFLEXIVE RINGS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 65/1 (2016), 19-33.