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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.3
- 수록면
- 43 - 55 (13page)
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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 ∈ Z(R) for all x ∈ 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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