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Semigroup rings over semiprime ring semigroups
2019We 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
1992Let \(R\) 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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On semiprime Noetherian PI-rings
2016Let \(R\) 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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Strong commutativity and Engel condition preserving maps in prime and semiprime rings
Linear and Multilinear Algebra, 2013Vincenzo De Filippis, Giovanni Scudo
exaly
Multiplicative (generalized)-derivation in semiprime rings
Beitrage Zur Algebra Und Geometrie, 2015Shailesh Kumar Tiwari
exaly
On weakly semiprime ideals of commutative rings
Beitrage Zur Algebra Und Geometrie, 2016Ayman Badawi
exaly
Generalized derivations acting as a homomorphism or anti-homomorphism in semiprime rings
Beitrage Zur Algebra Und Geometrie, 2011Basudeb Dhara
exaly

