Results 11 to 20 of about 32,538 (181)

q-deformation of Witt-Burnside rings [PDF]

open access: yesMathematische Zeitschrift, 2007
Some revision was ...
openaire   +4 more sources

Constructing Witt–Burnside rings

open access: yesAdvances in Mathematics, 2006
The main theorem of this paper describes an isomorphism between the Witt-Burnside ring over a commutative monoid ring \({\mathbb Z}[M]\) and the Grothendieck ring of a category whose objects are almost finite \(G\)-sets \(X\) for a profinite group \(G\), equipped with a map \(X\rightarrow M\), that is constant on \(G\)-orbits.
openaire   +3 more sources

Chow-Witt rings of classifying spaces for symplectic and special linear groups

open access: yesJournal of Topology, 2019
We compute the Chow-Witt rings of the classifying spaces for the symplectic and special linear groups. In the structural description we give, contributions from real and complex realization are clearly visible.
Hornbostel, Jens, Wendt, Matthias
core   +3 more sources

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

Extensiones PBW torcidas de anillos de Baer, quasi-Baer, p.p. y p.q-Baer

open access: yesRevista Integración, 2015
El propósito de este artículo es estudiar las extensiones torcidas de Poincaré-Birkhoff-Witt de anillos de Baer, quasi-Baer, p.p. y p.q.-Baer. Utilizando una noción de rigidez, probamos que estas propiedades son estables para esta clase de extensiones ...
Armando Reyes
doaj   +1 more source

Stability in Witt rings [PDF]

open access: yesTransactions of the American Mathematical Society, 1977
An abstract Witt ring R is defined to be a certain quotient of an integral group ring for a group of exponent 2. The ring R has a unique maximal ideal M containing 2. A variety of results are obtained concerning n-stability, the condition that M n + 1
openaire   +2 more sources

Ore and Goldie theorems for skew PBW extensions [PDF]

open access: yes, 2013
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials,
Acosta, Juan Pablo   +4 more
core   +1 more source

Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj   +1 more source

Almost purity and overconvergent Witt vectors [PDF]

open access: yes, 2014
In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are surjective, then the integral closure of R in a finite \'etale extension of R[
Davis, Christopher, Kedlaya, Kiran S.
core   +3 more sources

Witt kernels and Brauer kernels for quartic extensions in characteristic two [PDF]

open access: yes, 2014
Let $F$ be a field of characteristic $2$ and let $E/F$ be a field extension of degree $4$. We determine the kernel $W_q(E/F)$ of the restriction map $W_qF\to W_qE$ between the Witt groups of nondegenerate quadratic forms over $F$ and over $E$, completing
Hoffmann, Detlev W., Sobiech, Marco
core   +1 more source

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