Results 1 to 10 of about 73,078 (105)
Noncommutative symmetric functions associated with a code, Lazard elimination, and Witt vectors [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.
Jean-Gabriel Luque, Jean-Yves Thibon
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Euclidean-Lorentzian Dichotomy and Algebraic Causality in Finite Ring Continuum [PDF]
EntropyWe present a concise and self-contained extension of the Finite Ring Continuum (FRC) program, showing that symmetry-complete prime shells Fp with p=4t+1 exhibit a fundamental Euclidean-Lorentzian dichotomy.
Yosef Akhtman
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Ingeniería y Ciencia, 2020 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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KO-Rings of Full Flag Varieties [PDF]
, 2014 We present type-independent computations of the KO-groups of full flag varieties, i.e. of quotient spaces G/T of compact Lie groups by their maximal tori. Our main tool is the identification of the Witt ring, a quotient of the KO-ring, of these varieties
Zibrowius, Marcus
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Witt rings of quadratically presentable fields [PDF]
Categories and General Algebraic Structures with Applications, 2020 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
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The basic geometry of Witt vectors, I: The affine case [PDF]
, 2015 We give a concrete description of the category of etale algebras over the ring of Witt vectors of a given finite length with entries in an arbitrary ring.
Borger, James
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The basic geometry of Witt vectors, II: Spaces [PDF]
, 2015 This is an account of the algebraic geometry of Witt vectors and arithmetic jet spaces. The usual, "p-typical" Witt vectors of p-adic schemes of finite type are already reasonably well understood.
Borger, James
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Graded radical W type Lie algebras I
International Journal of Mathematics and Mathematical Sciences, 2002 We get a new ℤ-graded Witt type simple Lie algebra using a generalized polynomial ring which is the radical extension of the polynomial ring F[x] with the exponential function ex.
Ki-Bong Nam
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Witt Vector Rings and the Relative de Rham Witt Complex [PDF]
, 2015 In this paper we develop a novel approach to Witt vector rings and to the (relative) de Rham Witt complex. We do this in the generality of arbitrary commutative algebras and arbitrary truncation sets.
Cuntz, Joachim, Deninger, Christopher
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Annihilating polynomials for quadratic forms
International Journal of Mathematics and Mathematical Sciences, 2001 This is a short survey of the main known results concerning annihilating polynomials for the Witt ring of quadratic forms over a field.
David W. Lewis
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