Results 31 to 40 of about 1,695,237 (310)

Polynomial Rings over Goldie Rings

open access: yesJournal of Algebra, 2001
The authors construct for each finite field \(K\) a commutative Goldie \(K\)-algebra \(R\) such that the polynomial ring \(R[X]\) is not a Goldie ring.
Antoine, Ramon, Cedó, Ferran
openaire   +1 more source

α-Reflexive Rings with Involution

open access: yesمجلة المختار للعلوم, 2021
This paper studies the concept of the -quasi-*-IFP (resp.,  -*-reflexive) *-rings, as a generalization of the quasi-*-IFP (resp., *-reflexive) *-rings and every quasi-*-IFP (resp., *-reflexive) *-ring is  -quasi-*-IFP (resp., -*-reflexive).
Muna E. Abdulhafed   +1 more
doaj   +1 more source

When are the natural embeddings of classical invariant rings pure?

open access: yesForum of Mathematics, Sigma, 2023
Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster   +3 more
doaj   +1 more source

On the generalized Davenport constant and the Noether number [PDF]

open access: yes, 2013
Known results on the generalized Davenport constant related to zero-sum sequences over a finite abelian group are extended to the generalized Noether number related to the rings of polynomial invariants of an arbitrary finite group.
A Geroldinger   +19 more
core   +1 more source

On Syzygy Modules over Laurent Polynomial Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2020
In this paper, we present a dynamical method for computing the syzygy module of multivariate Laurent polynomials with coefficients in a Dedekind ring (with zero divisors) by reducing the computation over Laurent polynomial rings to calculations over a ...
Morou Amidou, Ousmane Moussa Tessa
doaj   +1 more source

Noetherian properties of Fargues-Fontaine curves [PDF]

open access: yes, 2015
We establish that the extended Robba rings associated to a perfect nonarchimedean field of characteristic p, which arise in p-adic Hodge theory as certain completed localizations of the ring of Witt vectors, are strongly noetherian Banach rings; that is,
Kedlaya, Kiran S.
core   +1 more source

Quiver Generalized Weyl Algebras, Skew Category Algebras and Diskew Polynomial Rings

open access: yesMathematics and Computer Science, 2017
The aim of the paper is to introduce new large classes of algebras—quiver generalized Weyl algebras, skew category algebras, diskew polynomial rings and skew semi-Laurent polynomial rings.
V. Bavula
semanticscholar   +1 more source

Skew Polynomial Extensions over Zip Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
In this article, we study the relationship between left (right) zip property of 𝑅 and skew polynomial extension over 𝑅, using the skew versions of Armendariz rings.
Wagner Cortes
doaj   +1 more source

Some Extensions of Generalized Morphic Rings and EM-rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
doaj   +1 more source

Universal deformation rings of modules for algebras of dihedral type of polynomial growth [PDF]

open access: yes, 2012
Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski.
FM Bleher   +12 more
core   +1 more source

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