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Noetherian Semiprime Rings

1973
A ring S is a (classical) right quotient ring of a subring T if every regular element a ∈ T has an inverse in S and $$ S = \{ a{b^{ - 1}}|a,b \in T,b\;{\text{reular}}\} $$ Then T is an order in S (cf. 7.21). The following condition is necessary and sufficient for a ring T to possess a classical quotient ring: If a, b ∈ T, and if b is regular ...
openaire   +1 more source

Semiprime Rings

2015
Ernest Shult, David Surowski
openaire   +1 more source

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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On one sided ideals of a semiprime ring with generalized derivations

Aequationes Mathematicae, 2012
Vincenzo de Filippis   +2 more
exaly  

Semiprime ore extensions

Communications in Algebra, 2000
Yasuyuki Hirano, Juncheol Han
exaly  

Generalized Derivations with Nilpotent Values on Semiprime Rings

Acta Mathematica Sinica, English Series, 2004
Feng Wei
exaly  

Semiprime rings with prime ideals invariant under derivations

Journal of Algebra, 2006
Tsiu-Kwen Lee, Chen-Lian Chuang
exaly  

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