Results 111 to 120 of about 1,169,182 (223)
On the structure of semiprime rings [PDF]
Proceedings of the American Mathematical Society, 1973 The structure of prime rings has recently been studied by A. W. Goldie, R. E. Johnson, L. Lesieur and R. Croisot. In their main results some sort of finiteness assumption is invariably made. It is shown in this paper that certain semiprime rings are subdirect sums of full rings of linear transformations of a right vector space over a division ring.
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Semiprime SF‐rings whose essential left ideals are two‐sided [PDF]
, 1994 Zhang Jule, Du Xhianneng
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Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
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(ϕ, φ)-derivations on semiprime rings and Banach algebras [PDF]
, 2021 Bilal Ahmad Wani
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SKEW POLYNOMIAL RINGS OVER SEMIPRIME RINGS [PDF]
, 2010 Chan-Yong Hong, Nam Kyun Kim, Yang Lee
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Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
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Goldie criteria for some semiprime rings [PDF]
, 1991 Ken A. Brown, B. A. F. Wehrfritz
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Symmetric Reverse n-Derivations on Ideals of Semiprime Rings
AxiomsThis paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. As implied by its name, it combines the ideas of n-additive maps and reverse derivations, with a 1-reverse derivation being the ordinary reverse ...
Shakir Ali +4 more
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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 COMMUTATIVITY PRESERVING MAPPINGS ON SEMIPRIME RINGS [PDF]
, 2006 Asif Ali, Muhammad Yasen, Matloob Anwar
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