Rings in which Nilpotent Elements are Right Singular

被引：1

作者：

Nejadzadeh, A. ^{[1
]}

Amini, A. ^{[1
]}

Amini, B. ^{[1
]}

Sharif, Habib ^{[1
]}

机构：

[1] Shiraz Univ, Dept Math, Coll Sci, Shiraz 71457, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 05期

关键词：

Nilpotent element; Right singular element; Right singular ideal; Right Z-reduced ring; ARMENDARIZ RINGS;

D O I：

10.1007/s41980-018-0085-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that every central nilpotent element of a ring R belongs to the right (left) singular ideal of R. In this paper, we investigate rings in which all nilpotent elements belong to the right singular ideal of R.

引用

页码：1217 / 1226

页数：10

共 50 条

[41] Nilpotent elements of skew Hurwitz series rings
Paykan K.
Rendiconti del Circolo Matematico di Palermo Series 2, 2016, 65 (3): : 451 - 458
[42] The Jacobson radical of rings with nilpotent homogeneous elements
Smoktunowicz, Agata
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 : 917 - 928
[43] An approach to quasipolarity for rings along nilpotent elements
Calci T.P.
Harmanci A.
Ungor B.
Boletín de la Sociedad Matemática Mexicana, 2018, 24 (1) : 95 - 106
[44] Singular f-rings which are α-GCD rings
McGovern, WW
TOPOLOGY AND ITS APPLICATIONS, 1998, 88 (03) : 199 - 205
[45] RINGS WITH INVOLUTION IN WHICH EVERY TRACE IS NILPOTENT OR REGULAR
MONTGOMERY, S
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (01): : 130 - 137
[46] STRICTLY SINGULAR ELEMENTS IN BAER'-RINGS
HERMAN, LM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A79 - A79
[47] NILPOTENT ELEMENTS IN MODULAR REPRESENTATION RINGS - PRELIMINARY REPORT
ZEMANEK, JR
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03): : 548 - &
[48] Idempotent and nilpotent elements in octonion rings over ZP
Aristidou, Michael
Brown, Philip R.
Chailos, George
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2024, 69 (01): : 3 - 14
[49] ZERO DIVISORS AND NILPOTENT ELEMENTS IN POWER SERIES RINGS
FIELDS, DE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 27 (03) : 427 - +
[50] RINGS WHOSE NILPOTENT ELEMENTS FORM A LIE IDEAL
Qu, Yinchun
Wei, Junchao
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2014, 51 (02) : 271 - 284

← 1 2 3 4 5 →