Results 11 to 20 of about 73,169 (194)
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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Transactions 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
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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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Small Extensions of Witt Rings [PDF]
, 1999 We consider certain Witt ring extensions S of a noetherian Witt ring R obtained by adding one new generator. The conditions on the new generator are those known to hold when R is the Witt ring of a Field F, S is the Witt ring of a Field K and K/F is an ...
Fitzgerald, Robert W.
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Witt group of Hermitian forms over a noncommutative discrete valuation ring
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Hermitian forms on finitely generated torsion modules over a noncommutative discrete valuation ring. We also give some results for lattices, which still are satisfied even if the base ring is not commutative. Moreover, for a noncommutative
L. Oukhtite
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Springer's theorem for tame quadratic forms over Henselian fields [PDF]
, 2010 A quadratic form over a Henselian-valued field of arbitrary residue characteristic is tame if it becomes hyperbolic over a tamely ramified extension. The Witt group of tame quadratic forms is shown to be canonically isomorphic to the Witt group of graded
Elomary, Mohamed Abdou +1 more
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Proceedings of the American Mathematical Society, 1997 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.
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Propiedad de Armendariz para las extensiones PBW torcidas y su anillo clásico de cocientes
Revista Integración, 2016 Consideramos un primer acercamiento a la noción de anillo de Armendariz para una extensión torcida de Poincaré-Birkho-Witt (PBW), y su anillo clásico de cocientes.
Armando Reyes, Héctor Suárez
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Universal deformation rings and tame blocks [PDF]
, 2013 Let k be an algebraically closed field of positive characteristic, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group and B is a block of kG of infinite tame representation type. We find all finitely generated kG-modules V
B. Schaefer +3 more
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Computation of the Grothendieck-Witt ring of nonsingular Hermitian forms with positioning map [PDF]
, 2005 The generalized Grothendieck-Witt ring of nonsingular Hermitian forms with positioning map is the cartesian product of the ordinary Grothendieck-Witt ring of nonsingular Hermitian forms and a map ring.
Ju, Xian Meng
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