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How far can we go with Amitsur’s theorem in differential polynomial rings?
, 2015A well-known theorem by S. A. Amitsur shows that the Jacobson radical of the polynomial ring R[x] equals I[x] for some nil ideal I of R. In this paper, however, we show that this is not the case for differential polynomial rings, by proving that there is
A. Smoktunowicz
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Automorphisms for Skew PBW Extensions and Skew Quantum Polynomial Rings
, 2013In this work, I study the automorphisms of skew PBW extensions and skew quantum polynomials. I use Artamonov's works as reference for getting the principal results about automorphisms for generic skew PBW extensions and generic skew quantum polynomials ...
C'esar Fernando Venegas Ram'irez +1 more
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Automorphisms of polynomial rings
1983We discuss some problems concerning the group GAn(k) of automorphisms of a polynomial algebra [k]n = k[X1,...,Xn] over a commutative ring k . We view GAn(k) as a non-linear generalization of its subgroup GLn(k).
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Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings
Chemical Reviews, 2021Rosalie S Doerksen +2 more
exaly
Cleavage of Carbon–Carbon σ-Bonds of Four-Membered Rings
Chemical Reviews, 2021Masahiro Murakami, Naoki Ishida
exaly
Rings with Polynomial Identities and Finite Dimensional Representations of Algebras
Colloquium Publications, 2020E. Aljadeff +3 more
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