Results 11 to 20 of about 32,481 (184)
Noetherian properties of Fargues-Fontaine curves [PDF]
, 2015 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
Revista Integración, 2015 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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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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Stabilization of the Witt group [PDF]
, 2005 Using an idea due to R.Thomason, we define a "homology theory" on the category of rings which satisfies excision, exactness, homotopy (in the algebraic sense) and periodicity of order 4. For regular noetherian rings, we find P.
Karoubi, Max
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 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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Witt kernels and Brauer kernels for quartic extensions in characteristic two [PDF]
, 2014 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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Ore and Goldie theorems for skew PBW extensions [PDF]
, 2013 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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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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Proceedings of the American Mathematical Society, 2012 The study of Witt rings of formally real fields in the algebraic theory of quadratic forms has led to a particularly good understanding of the finitely generated torsion free Witt rings. In this paper, we work primarily with a somewhat more general class of rings which can be completely characterized by (binary) matroids.
Craven, Thomas C., Kent, Zachary A.
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Journal of Algebra, 1998 Finitely generated Witt rings of elementary type with the product operation form a graded structure with the gradation given by the size of the underlying group of square classes. Modifying slightly the setup, the author obtains an almost free graded structure for which it is possible to find an asymptotic estimate for the number of elements with a ...
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