Subrings of a polynomial ring of one variable
نویسندگان
چکیده
منابع مشابه
Artinian Subrings of a Commutative Ring
Given a commutative ring R, we investigate the structure of the set of Artinian subrings of R . We also consider the family of zero-dimensional subrings of R. Necessary and sufficient conditions are given in order that every zero-dimensional subring of a ring be Artinian. We also consider closure properties of the set of Artinian subrings of a ring with respect to intersection or finite interse...
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There is proposed a representation of the Drazin inverse of a given polynomial square matrix, based on the extension of the Leverrier-Faddeev algorithm. Also, an algorithm for symbolic computation of the Drazin inverse of polynomial matrix is established. This algorithm represents an extension of the papers [5], [7] and a continuation of the papers [8], [9], [10]. The implementation is develope...
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A commutative associative algebra A over C with a derivation is one of the simplest examples of a vertex algebra. However, the differences between the modules for A as a vertex algebra and the modules for A as an associative algebra are not well understood. In this paper, I give the classification of finite-dimensional indecomposable untwisted or twisted modules for the polynomial ring in one v...
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In this study we explore the subrings in trigonometric polynomial rings. Consider the rings T and T ′ of real and complex trigonometric polynomials over the fields R and its algebraic extension C respectively ( see [6]). We construct the subrings T0 of T and T ′ 0, T ′ 1 of T ′. Then T0 is a BFD whereas T ′ 0 and T ′ 1 are Euclidean domains. We also discuss among these rings the Condition : Let...
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Let K[x] be a polynomial algebra in a variable x over a commutative Q-algebra K, and Γ′ be the monoid of K-algebra monomorphisms of K[x] of the type σ : x 7→ x + λ2x 2 + · · · + λnx , λi ∈ K, λn is a unit of K. It is proved that for each σ ∈ Γ ′ there are only finitely many distinct decompositions σ = σ1 · · · σs in Γ ′. Moreover, each such a decomposition is uniquely determined by the degrees ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1977
ISSN: 2156-2261
DOI: 10.1215/kjm/1250522712