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On derivation of semiprime rings

2012
The paper purports to prove several commutativity theorems for prime or semiprime rings satisfying certain constraints involving derivations, one such being that for some derivation \(d\), \(xyx+d(xyx)=x^2y+d(x^2y)\) for all \(x,y\in R\). Unfortunately the proofs are wrong.
openaire   +2 more sources

THE SOURCE OF SEMIPRIMENESS OF RINGS

2018
Let R be an associative ring. We define a subset S-R of R as S-R = {a is an element of R vertical bar aRa = (0)} and call it the source of semiprimeness of R. We first examine some basic properties of the subset S-R in any ring R, and then define the notions such as R being a vertical bar S-R vertical bar-reduced ring, a vertical bar S-R vertical bar ...
Aydin, Neset   +2 more
openaire   +3 more sources

A Description of Ad-nilpotent Elements in Semiprime Rings with Involution

, 2021
Jose Brox   +4 more
semanticscholar   +1 more source

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.
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 \(x_ i^ w\),
openaire   +1 more source

Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes

Chemical Reviews, 2021
Vincent Pirenne   +2 more
exaly  

Semiprime Rings

2015
Ernest Shult, David Surowski
openaire   +1 more source

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