Results 221 to 230 of about 1,487,509 (274)

Valuation rings are derived splinters

Mathematische Zeitschrift, 2020
We give three proofs that valuation rings are derived splinters: a geometric proof using absolute integral closure, a homological proof which reduces the problem to checking that valuation rings are splinters (which is done in the second author’s PhD ...
Benjamin Antieau, Rankeya Datta
semanticscholar   +1 more source

Valuation rings and Bezout rings

Lecture Notes in Mathematics, 1979
Willy Brandal, Brandal Willy
exaly   +2 more sources

Enumerating traceless matrices over compact discrete valuation rings

Israel Journal of Mathematics, 2017
We enumerate traceless square matrices over finite quotients of compact discrete valuation rings by their image sizes. We express the associated rational generating functions in terms of statistics on symmetric and hyperoctahedral groups, viz.
A. Carnevale, Shai Shechter, C. Voll
semanticscholar   +1 more source

Models of curves over discrete valuation rings

Duke mathematical journal, 2018
Let C be a smooth projective curve over a discretely valued field K, defined by an affine equation f(x,y)=0. We construct a model of C over the ring of integers of K using a toroidal embedding associated to the Newton polygon of f.
T. Dokchitser
semanticscholar   +1 more source

Group rings and generalized valuations [PDF]

open access: possibleCommunications in Algebra, 1984
(MathRew 85f:16013)
Törner, Günter, Albrecht, U.
openaire   +1 more source

Sum-Product Type Estimates for Subsets of Finite Valuation Rings

, 2017
Let $R$ be a finite valuation ring of order $q^r.$ Using a point-plane incidence estimate in $R^3$, we obtain sum-product type estimates for subsets of $R$. In particular, we prove that for $A\subset R$, $$|AA+A|\gg \min\left\{q^{r}, \frac{|A|^3}{q^{2r-1}
E. Yazici
semanticscholar   +1 more source

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