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Jordan mappings of semiprime rings
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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Congruence Extensions in Congruence–Modular Varieties
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences with respect to the term condition commutator.
George Georgescu+2 more
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ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS [PDF]
Kyoo-Hong Park
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GENERALIZED JORDAN TRIPLE $(\theta,\phi)$-DERIVATIONS ON SEMIPRIME RINGS [PDF]
Cheng-Kai Liu, Wen-Kwei Shiue
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A NOTE ON GENERALIZED DERIVATIONS OF SEMIPRIME RINGS [PDF]
Joso Vukman
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ON PRIME AND SEMIPRIME RINGS WITH PERMUTING 3-DERIVATIONS [PDF]
Yong-Soo Jung, Kyoo-Hong Park
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Asymptotic aspect of derivations in Banach algebras. [PDF]
Roh J, Chang IS.
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GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS [PDF]
Feng Wei, Zhankui Xiao
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Local generalized (α,β)-derivations. [PDF]
Fošner A.
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Modules over strongly semiprime rings
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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