Results 1 to 10 of about 1,635 (186)
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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q-deformation of Witt-Burnside rings [PDF]
Mathematische Zeitschrift, 2007 Some revision was ...
Young-Tak Oh
exaly +3 more sources
Witt vector rings and the relative de Rham Witt complex
Journal of Algebra, 2015 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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Formalizing the ring of Witt vectors [PDF]
Proceedings of the 10th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2021 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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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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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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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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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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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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BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
Momento, 2017 Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an
Armando Reyes, Héctor Suárez
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