Results 191 to 200 of about 1,169,182 (223)

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, Demir, Cagri, Camci, Didem Karalarlioglu   +2 more
openaire   +3 more sources

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

Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings

Chemical Reviews, 2021
Rosalie S Doerksen, Tomáš Hodík, William G Shuler   +2 more
exaly  

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

Facile access to fused 2D/3D rings via intermolecular cascade dearomative [2 + 2] cycloaddition/rearrangement reactions of quinolines with alkenes

Nature Catalysis, 2022
Shuming Chen, Peter Bellotti, Kendall N Houk   +2 more
exaly  

Semiprime Rings

2015
Ernest Shult, David Surowski
openaire   +1 more source

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 ...
openaire   +2 more sources

Cleavage of Carbon–Carbon σ-Bonds of Four-Membered Rings

Chemical Reviews, 2021
Masahiro Murakami, Naoki Ishida
exaly  

Stereoselective construction of β-, γ- and δ-lactam rings via enzymatic C–H amidation

Nature Catalysis, 2023
David A Vargas, Arkajyoti Sengupta, Kendall Houk   +2 more
exaly