ON RINGS WITH LOCALLY NILPOTENT SKEW DERIVATIONS

被引：7

作者：

Bergen, Jeffrey ^{[1
]}

Grzeszczuk, Piotr ^{[2
]}

机构：

[1] Depaul Univ, Dept Math, Chicago, IL 60614 USA

[2] Bialystok Tech Univ, Fac Comp Sci, Bialystok, Poland

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 10期

关键词：

Locally nilpotent; Skew derivations; AUTOMORPHISMS;

D O I：

10.1080/00927872.2010.510816

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we examine algebras with a locally nilpotent q-skew sigma-derivation d when there is an element x such that d (x) = 1 and either q is not a root of 1 or q = 1 in characteristic zero. When characteristic p > 0, we also examine the situation where d is an ordinary derivation.

引用

页码：3698 / 3708

页数：11

共 50 条

[41] Retracts that are kernels of locally nilpotent derivations
Dayan Liu
Xiaosong Sun
Czechoslovak Mathematical Journal, 2022, 72 : 191 - 199
[42] Rings of nilpotent elements of monomial derivations on polynomial rings
Hattori, Kyohei
Kojima, Hideo
COMMUNICATIONS IN ALGEBRA, 2024, 52 (07) : 2998 - 3009
[43] On the Characterization of Skew Jordan Derivations in -Rings
Siddeeque, Mohammad Aslam
Shikeh, Abbas Hussain
IRANIAN JOURNAL OF SCIENCE, 2023, 47 (5-6) : 1605 - 1611
[44] On rings and Banach algebras with skew derivations
Rehman, Nadeem Ur
NOTE DI MATEMATICA, 2020, 40 (01): : 73 - 79
[45] DERIVATIONS OF SKEW POLYNOMIAL-RINGS
OSBORN, JM
PASSMAN, DS
JOURNAL OF ALGEBRA, 1995, 176 (02) : 417 - 448
[46] On skew derivations and antiautomorphisms in prime rings
Alali, Amal S.
Alnoghashi, Hafedh
Nisar, Junaid
Rehman, Nadeem
Alqarni, Faez A.
GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (02) : 173 - 179
[47] SKEW DERIVATIONS OF PRIME-RINGS
KHARCHENKO, VK
POPOV, AZ
COMMUNICATIONS IN ALGEBRA, 1992, 20 (11) : 3321 - 3345
[48] ON IDEALS WITH SKEW DERIVATIONS OF PRIME RINGS
Rehman, Nadeem Ur
Raza, Mohd Arif
MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) : 717 - 724
[49] Generalized skew derivations on semiprime rings
De Filippis, Vincenzo
Di Vincenzo, Onofrio Mario
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (05): : 927 - 939
[50] Nilpotent Elements and Skew Polynomial Rings
Alhevaz, A.
Moussavi, A.
Hashemi, E.
ALGEBRA COLLOQUIUM, 2012, 19 : 821 - 840

← 1 2 3 4 5 →