Results 11 to 20 of about 3,149 (187)
European Journal of Pure and Applied MathematicsLet R be an associative and 2-torsion-free ring with an identity. in this work, we will generalize the results of differentially prime rings in [18] by applying the hypotheses in a differentially semiprime rings. In particular, we have proved that if R is a D-semiprime ring, then either R is a commutative ring or D is a semiprime ring.
Maram Alosaimi +3 more
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Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings
Cumhuriyet Science Journal, 2022 In this paper, orthogonality for symmetric bi-semiderivations is defined and some results are obtained when two symmetric bi-semiderivations are orthogonal.
Damla Yılmaz
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On Prime and Semiprime Rings with Symmetric Generalized Biderivations
Al-Mustansiriyah Journal of Science, 2017 The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings.
Auday H. Mahmood +1 more
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A note on multiplicative (generalized)-skew derivation on semiprime rings
Journal of Taibah University for Science, 2018 In this article, we study multiplicative (generalized)-skew derivation G and multiplicative left centralizer H satisfying certain conditions in semiprime rings.
Nadeem ur Rehman, Mohammad Shadab Khan
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Center-like Subsets in Semiprime Rings with Multiplicative Derivations
AxiomsWe introduce center-like subsets Z∘*(A,d),Z∘**(A,d), where A is the ring and d is the multiplicative derivation. In the following, we take a new derivation for the center-like subsets existing in the literature and establish the relations between these ...
Sarah Samah Aljohani +2 more
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Strong inner and strong reflexive inverses in semiprime rings
Mathematica, 2023 Motivated by some recent work on von Neumann regular elements in semiprime rings, we study how strongly regular elements of semiprime rings are related in terms of their sets of strong inner inverses and strong reflexive inverses.
Iulia-Elena Chiru
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Some Identities Involving Multiplicative (Generalized)(α; 1)-Derivations in Semiprime Rings
Journal of the Indonesian Mathematical Society, 2022 Let R be a semiprime ring, I a non-zero ideal of R and α be an automorphism of R. A map F : R to R is said to be a multiplicative (generalized)(α, 1)-derivation associated with a map d : R to R such that F (xy) = F (x) α (y) + xd (y), for all x, y in R ...
G. Malleswari +2 more
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Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
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Generalized Commuting Mapping in Prime and Semiprime Rings
Iraqi Journal of Science, 2022 Let R be an associative ring. The essential purpose of the present paper is to introduce the concept of generalized commuting mapping of R. Let U be a non-empty subset of R, a mapping : R R is called a generalized commuting mapping on U if there ...
A. H. Mahmood
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A result related to derivations on unital semiprime rings
Glasnik Matematicki - Serija III, 2021 The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D
I. Kosi-Ulbl +3 more
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