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Semigroup rings over semiprime ring semigroups

2019
We consider semigroup rings over a particular class of semigroups: those semigroups which arise as the multiplicative semigroup of a ring.
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Semiprime rings with differential identities

1992
Let \(R\) be a semi-prime ring with maximal right quotient ring \(U\) and let \(\text{Der}(U)\) be the set of derivations of \(U\). The extended centroid of \(R\) is \(C\), the center of \(U\). A differential polynomial is an element \(f \in U*_ C C\{X^ W\}\), the free product over \(C\) of \(U\) and the free \(C\)-algebra in indeterminates \(x_ i^ w\),
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Semiprime Rings

2015
Ernest Shult, David Surowski
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On semiprime Noetherian PI-rings

2016
Let \(R\) be a semiprime Noetherian PI-ring, and let \(Q\) be its semisimple Artinian classical quotient ring. The author establishes the equivalence of the following three statements. (1) The (classical) Krull dimension of \(R\) is \(\leq 1\); (2) If \(T\) is a ring with \(R\subseteq T\subseteq Q\), then \(T\) is Noetherian; (3) For central regular ...
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Weakly semiprime rings

Communications in Algebra, 1984
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Strong commutativity and Engel condition preserving maps in prime and semiprime rings

Linear and Multilinear Algebra, 2013
Vincenzo De Filippis, Giovanni Scudo
exaly  

Multiplicative (generalized)-derivation in semiprime rings

Beitrage Zur Algebra Und Geometrie, 2015
Shailesh Kumar Tiwari
exaly  

Right Centralizers of Semiprime Rings

Communications in Algebra, 2014
Tsiu-Kwen Lee
exaly  

On weakly semiprime ideals of commutative rings

Beitrage Zur Algebra Und Geometrie, 2016
Ayman Badawi
exaly  

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