Results 11 to 20 of about 32,538 (181)
q-deformation of Witt-Burnside rings [PDF]
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Constructing Witt–Burnside rings
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.
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Chow-Witt rings of classifying spaces for symplectic and special linear groups
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
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Noetherian properties of Fargues-Fontaine curves [PDF]
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.
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Extensiones PBW torcidas de anillos de Baer, quasi-Baer, p.p. y p.q-Baer
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
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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
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Ore and Goldie theorems for skew PBW extensions [PDF]
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
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
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
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Almost purity and overconvergent Witt vectors [PDF]
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.
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Witt kernels and Brauer kernels for quartic extensions in characteristic two [PDF]
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
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