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Witt vector rings and the relative de Rham Witt complex [PDF]
Appendix by Umberto Zannier; added the construction of a functorial noncommutative Witt vector ring with Frobenius Verschiebung and Teichm\"uller maps for noncommutative rings extending the commutative ...
Cuntz, J., Deninger, C.
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Witt rings of higher degree forms [PDF]
(1988). Witt rings of higher degree forms. Communications in Algebra: Vol. 16, No. 6, pp. 1275-1313.
Pareigis, Bodo, Harrison, D. K.
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Electrodermal Activity Biofeedback Alters Evolving Functional Brain Networks in People With Epilepsy, but in a Non-specific Manner [PDF]
There is evidence that biofeedback of electrodermal activity (EDA) can reduce seizure frequency in people with epilepsy. Prior studies have linked EDA biofeedback to a diffuse brain activation as a potential functional mechanism.
Sophia Schach +12 more
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Gorenstein Witt Rings II [PDF]
AbstractThe abstract Witt rings which are Gorenstein have been classified when the dimension is one and the classification problem for those of dimension zero has been reduced to the case of socle degree three. Here we classify the Gorenstein Witt rings of fields with dimension zero and socle degree three. They are of elementary type.
Fitzgerald, Robert W.
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An abstract Witt ring \((R,G,q)\) is said to be \(k\)-regular if for all \(x \in G\), \(x \neq 1\), the value sets of binary forms satisfy \(|D(1,-x)|= k\). The existence of \(k\)-regular Witt rings is known only for \(k = 2, g/2, g\), where \(g = |G|\). A Witt ring with \(2 < k < g/2\) is said to be exceptional.
Fitzgerald, Robert W.
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Chow–Witt rings of Grassmannians
Significant revision, streamlined proofs ...
Wendt, Matthias
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In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes +1 more
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Formalizing the ring of Witt vectors [PDF]
The ring of Witt vectors $\mathbb{W} R$ over a base ring $R$ is an important tool in algebraic number theory and lies at the foundations of modern $p$-adic Hodge theory. $\mathbb{W} R$ has the interesting property that it constructs a ring of characteristic $0$ out of a ring of characteristic $p > 1$, and it can be used more specifically to ...
Johan Commelin, Robert Y. Lewis
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Witt rings of quadratically presentable fields [PDF]
This paper introduces an approach to the axiomatic theory of quadratic forms based on {tmem{presentable}} partially ordered sets, that is partially ordered sets subject to additional conditions which amount to a strong form of local presentability.
Pawel Gladki, Krzysztof Worytkiewicz
doaj
Euler class groups, and the homology of elementary and special linear groups [PDF]
We prove homology stability for elementary and special linear groups over rings with many units improving known stability ranges. Our result implies stability for unstable Quillen K-groups and proves a conjecture of Bass. For commutative local rings with
Schlichting, Marco
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