Results 11 to 20 of about 571,712 (128)
On the dimension of cofinite modules
, 2023 Let $I$ be an ideal of a commutative Noetherian complete local ring $R$. In the present paper, we establish the equality $\dim R/(I+\Ann_R M)=\dim M$ for all $I$-cofinite $R$-modules $M$.
Zargar, Majid Rahro, Ghasemi, Ghader
openaire +3 more sources
Complexity of operations on cofinite languages [PDF]
, 2010 International audienceWe study the worst case complexity of regular operation on cofinite languages (i.e., languages whose complement is finite) and provide algorithms to compute efficiently the resulting minimal ...
Nicaud, Cyril +2 more
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Hartshorne's question on cofinite complexes [PDF]
, 2022 Let $\mathfrak{a}$ be a proper ideal of a commutative noetherian ring $R$ and $d$ a positive integer. We answer Hartshorne's question on cofinite complexes completely in the cases $\mathrm{dim}R=d$ or $\mathrm{dim}R/\mathfrak{a}=d-1$ or $\mathrm{ara ...
Yang, Xiaoyan, Shen, Jingwen
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The Kℵ0$K^{\aleph _0}$ game: Vertex colouring
Mathematika, Volume 69, Issue 3, Page 584-599, July 2023., 2023 Abstract We investigate games played between Maker and Breaker on an infinite complete graph whose vertices are coloured with colours from a given set, each colour appearing infinitely often. The players alternately claim edges, Maker's aim being to claim all edges of a sufficiently colourful infinite complete subgraph and Breaker's aim being to ...
Nathan Bowler, Marit Emde, Florian Gut
wiley +1 more source
Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A‐modules, and N be the full subcategory of finite A‐modules. In this paper, we study N⋆X‐c‐cofinite modules with respect to the extension subcategory N⋆X when dim A/c≤2. We also study c‐cofiniteness with respect to a new dimension.
Reza Sazeedeh, Kenan Yildirim
wiley +1 more source
Limit laws for rational continued fractions and value distribution of quantum modular forms
Proceedings of the London Mathematical Society, Volume 125, Issue 6, Page 1377-1425, December 2022., 2022 Abstract We study the limiting distributions of Birkhoff sums of a large class of cost functions (observables) evaluated along orbits, under the Gauss map, of rational numbers in (0, 1] ordered by denominators. We show convergence to a stable law in a general setting, by proving an estimate with power‐saving error term for the associated characteristic
Sandro Bettin, Sary Drappeau
wiley +1 more source
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1663-1724, October 2022., 2022 Abstract Through the glasses of didactic reduction, we consider a (periodic) tessellation Δ$\Delta$ of either Euclidean or hyperbolic n$n$‐space M$M$. By a piecewise isometric rearrangement of Δ$\Delta$ we mean the process of cutting M$M$ along corank‐1 tile‐faces into finitely many convex polyhedral pieces, and rearranging the pieces to a new tight ...
Robert Bieri, Heike Sach
wiley +1 more source
Herr‐complexes in the Lubin–Tate setting
Mathematika, Volume 68, Issue 1, Page 74-147, January 2022., 2022 Abstract In this article, we extend work of Herr from the case of cyclotomic (φ,Γ)$(\varphi ,\Gamma )$‐modules to the general case of Lubin–Tate (φ,Γ)$(\varphi ,\Gamma )$‐modules. In particular, we define generalized φ‐ and ψ‐Herr complexes, which calculate Galois cohomology, when applied to the étale (φ,Γ)$(\varphi ,\Gamma )$‐modules attached to the ...
Benjamin Kupferer, Otmar Venjakob
wiley +1 more source
Decidability of theories of modules over tubular algebras
Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 460-497, November 2021., 2021 Abstract We show that the common theory of all modules over a tubular algebra (over a recursive algebraically closed field) is decidable. This result supports a long standing conjecture of Mike Prest which says that a finite‐dimensional algebra (over a suitably recursive field) is tame if and only if its common theory of modules is decidable (Prest ...
Lorna Gregory
wiley +1 more source
Groups with cofinite Zariski topology and potential density
, 2023 Tkachenko and Yaschenko [33] characterized the abelian groups G such that all proper unconditionally closed subsets of G are finite, these are precisely the abelian groups G having cofinite Zariski topology (they proved that such a G is either almost ...
Bonatto M., Toller D., Dikranjan D.
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