Results 1 to 10 of about 1,487,509 (274)
K-theory of valuation rings [PDF]
Compositio Mathematica, 2018 We prove several results showing that the algebraic $K$-theory of valuation rings behaves as though such rings were regular Noetherian, in particular an analogue of the Geisser–Levine theorem.
S. Kelly, M. Morrow
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DEFINABLE HENSELIAN VALUATION RINGS [PDF]
The Journal of Symbolic Logic, 2014 We give model theoretic criteria for the existence of ∃∀ and ∀∃- formulas in the ring language to define uniformly the valuation rings ${\cal O}$ of models $\left( {K,\,{\cal O}} \right)$ of an elementary theory Σ of henselian valued fields.
A. Prestel
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Estimating the cost of and willingness to pay for providing the dapivirine ring for HIV prevention in Kenya [PDF]
BMC Public HealthBackground As Kenya prepared to introduce the PrEP ring (a long-acting product used by women for HIV prevention), the need to understand the resources required became increasingly important.
Peter Stegman +13 more
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Characterizing diophantine henselian valuation rings and valuation ideals [PDF]
, 2016 We give a characterization, in terms of the residue field, of those henselian valuation rings and those henselian valuation ideals that are diophantine.
Sylvy Anscombe, Arno Fehm
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A Formalization of Complete Discrete Valuation Rings and Local Fields [PDF]
Certified Programs and Proofs, 2023 Local fields, and fields complete with respect to a discrete valuation, are essential objects in commutative algebra, with applications to number theory and algebraic geometry. We formalize in Lean the basic theory of discretely valued fields.
Mar'ia In'es de Frutos-Fern'andez +1 more
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Essential finite generation of extensions of valuation rings [PDF]
Mathematische Nachrichten, 2021 Given a generically finite local extension of valuation rings V⊂W$V \subset W$ , the question of whether W is the localization of a finitely generated V‐algebra is significant for approaches to the problem of local uniformization of valuations using ...
Rankeya Datta
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The Grothendieck–Serre conjecture over valuation rings [PDF]
Compositio Mathematica, 2020 In this article, we establish the Grothendieck–Serre conjecture over valuation rings: for a reductive group scheme $G$ over a valuation ring $V$ with fraction field $K$, a $G$-torsor over $V$ is trivial if it is trivial over $K$. This result is predicted
N. Guo
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An inductive approach to representations of general linear groups over compact discrete valuation rings [PDF]
Advances in Mathematics, 2020 In his seminal Lecture Notes in Mathematics published in 1981, Andrey Zelevinsky introduced a new family of Hopf algebras which he called {\em PSH-algebras}. These algebras were designed to capture the representation theory of the symmetric groups and of
Tyrone Crisp, E. Meir, U. Onn
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Implicit linear difference equations over a non-Archi-medean ring
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 Over any field an implicit linear difference equation one can reduce to the usual explicit one, which has infinitely many solutions ~ one for each initial value.
Anna Goncharuk
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Weighted Homology of Bi-Structures over Certain Discrete Valuation Rings
Mathematics, 2021 An RNA bi-structure is a pair of RNA secondary structures that are considered as arc-diagrams. We present a novel weighted homology theory for RNA bi-structures, which was obtained through the intersections of loops.
Andrei Bura, Qijun He, Christian Reidys
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