Results 61 to 70 of about 2,178 (89)
A note on semiprime rings with derivation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Let R be a 2‐torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D : R → R a derivation. If d[x, y] + [x, y] ∈ Z or d[x, y] − [x, y] ∈ Z for all x, y ∈ I, then R is commutative.
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On nilpotent derivations of semiprime rings
Journal of Algebra, 1992 AbstractIn this paper we study nilpotent derivations of semiprime rings. An associative derivation d: R → R is an additive mapping on a ring R satisfying d(xy) = d(x) y + xd(y) for all x, y ϵ R. A derivation d: R → R is called inner if d= ad x for some x ϵ R, where ad x(y) = xy − yx.
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Left centralizers on rings that are not semiprime
Rocky Mountain Journal of Mathematics, 2011 A (left) centralizer for an associative ring R is an additive map satisfying T(xy) = T(x)y for all x , y in R . A (left) Jordan centralizer for an associative ring R is an additive map satisfying T ( xy + yx ) = T ( x ) y + T ( y ) x for all x , y in R . We characterize rings with a Jordan centralizer T .
Hentzel, Irvin, El-Sayiad, M.S.
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Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]
Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
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Permuting triderivations of prime and semiprime rings [PDF]
Miskolc Mathematical Notes, 2017 WOS ...
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Jordan mappings of semiprime rings
Journal of Algebra, 1989 An additive mapping 8 of a ring R into a 2-torsion free ring R’ is called a Jordan homomorphism if 6(ab +&z)=@(a) 8(b)+ 6(b) @(a) for all a, bE R. A well-known result of I. N. Herstein [4] states that every Jordan homomorphism onto a prime ring is either a homomorphism or an antihomomorphism.
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Emerging trends in soft set theory and related topics. [PDF]
ScientificWorldJournal, 2015 Feng F +3 more
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Modules over strongly semiprime rings
Discrete Mathematics and Applications, 2019 Abstract For a ring A, the following conditions are equivalent. A is a right strongly semiprime ring. Every right A-module which is injective with respect to some essential right ideal of the ring A, is an injective module. Every quasi-injective right A-module which is injective with respect to some essential right ideal of the ring A is an ...
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Free actions on semiprime rings [PDF]
Mathematica Bohemica, 2008 Mohammad Samman, Muhammad Anwar Chaudhry
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An embedding of semiprime P.I.-rings [PDF]
Pacific Journal of Mathematics, 1974 Fisher, Joe W., Rowen, Louis Halle
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