On n-skew Lie Products on Prime Rings with Involution

被引：0
作者：
Ali, Shakir [1 ]
Mozumder, Muzibur Rahman [1 ]
Khan, Mohammad Salahuddin [2 ]
Abbasi, Adnan [3 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Aligarh Muslim Univ, Dept Appl Math, ZH Coll Engn & Technol, Aligarh 202002, Uttar Pradesh, India
[3] Netaji Subhas Univ, Dept Math, Jamshedpur 831012, Jharkhand, India
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2022年 / 62卷 / 01期
关键词：
Prime ring; derivation; involution; centralizing mappings; 2-skew Lie product; 2-skew centralizing mappings; n-skew commuting mappings; n-skew centralizing mapping;
D O I：
10.5666/KMJ.2022.62.1.43
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a *-ring and n >= 1 be an integer. The objective of this paper is to introduce the notion of n-skew centralizing maps on *-rings, and investigate the impact of these maps. In particular, we describe the structure of prime rings with involution '*' such that (*)[x, d(x)](n) is an element of Z(R) for all x is an element of R (for n = 1, 2), where d : R -> R is a nonzero derivation of R. Among other related results, we also provide two examples to prove that the assumed restrictions on our main results are not superfluous.
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页码：43 / 55
页数：13
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