Results 301 to 310 of about 1,801,897 (347)

On the hopficity of the polynomial rings

Proceedings of the Indian Academy of Sciences - Section A, 1998
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On a Result in Polynomial Rings

Mathematical Proceedings of the Cambridge Philosophical Society, 1960
Let denote the polynomial algebra over the integers in countably many variables ui (i ≥ 1). Let ∂ be the derivation of defined on the generators by. Thus if is graded by dim ui=i, then∂ is homogeneous, of degree − 1. The result is that ∂ is onto, and that its kernel is a polynomial algebra in , where is homogeneous of degree i and the coefficient ...
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Polynomials Annihilating the Witt Ring

Mathematische Nachrichten, 1997
AbstractLet F be a non‐formally real field of characteristic not 2 and let W(F) be the Witt ring of F. In certain cases generators for the annihilator ideal equation image are determined. Aim the primary decomposition of A(F) is given. For formally d fields F, as an analogue the primary decomposition of At(F) = {f(X) ∈ Z[X]| f(ω) = 0 for all ω ∈ Wt(F)
Ongenae, Veerle, van Geel, Jan
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Automorphisms for Skew PBW Extensions and Skew Quantum Polynomial Rings

, 2013
In 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, J. L. Serrano   +1 more
semanticscholar   +1 more source

Semiheredetary polynomial rings

Publicationes Mathematicae Debrecen, 2022
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The Golomb Topology of Polynomial Rings

Quaestiones Mathematicae, 2021
Dario Spirito
exaly  

Cancellation in skew polynomial rings

, 2018
Jeffrey Bergen
semanticscholar   +1 more source

Rings with Polynomial Identities and Finite Dimensional Representations of Algebras

Colloquium Publications, 2020
E. Aljadeff, A. Giambruno, C. Procesi, A. Regev   +3 more
semanticscholar   +1 more source

Polynomial Rings

Algebra, 2018
J. Scherk
semanticscholar   +1 more source

Rings and Polynomials

2009
Abstract In chapter 2 we encountered some of the basic properties of rings and fields. In particular, we considered the ring of polynomials in a single variable and saw how essential that theory is to the study of finite fields. In this chapter we return to the study of rings and polynomials, but this time we will be interested in some ...
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