Results 51 to 60 of about 1,113 (200)
Comptes Rendus. MathématiqueWe prove some triviality results for reduced Whitehead groups and reduced unitary Whitehead groups for division algebras over a Henselian discrete valuation field whose residue field has virtual cohomological dimension or separable dimension $\le 2 ...
Hu, Yong, Tian, Yisheng
doaj +1 more source
Tate modules as condensed modules
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani +2 more
wiley +1 more source
A one dimensional manifold is of cohomological dimension 2 [PDF]
, 1975 G. Bredon defines the cohomological Dimension of a topological space X X to be the supremum of all cohomological ϕ \phi -dimensions of X X , where ϕ \phi varies over the entire ...
Satya Deo
core +1 more source
Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules [PDF]
Mathematics Interdisciplinary ResearchThe representation theory of groups is one of the most interesting examples of the interaction between physics and pure mathematics, where group rings play the main role.
Ali Hajizamani
doaj +1 more source
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract How hard is it to program n$n$ robots to move about a long narrow aisle while making a series of r−2$r-2$ intermediate stops, provided only w$w$ of the robots can fit across the width of the aisle? In this paper, we answer this question by calculating the rth$r{\text{th}}$‐sequential topological complexity of conf(n,w)$\text{conf}(n,w)$, the ...
Nicholas Wawrykow
wiley +1 more source
Algebras of Finite Cohomological Dimension [PDF]
Nagoya Mathematical Journal, 1971 The cohomology theory of an associative algebra has been shown to be valuable in the study of the structure of algebras of finite cohomological dimension, especially those of dimension less than or equal to one over a field. M. Harada [9] has shown that every semi-primary hereditary algebra A (for example, A is finitely generated over a field R and has
openaire +3 more sources
The CAT(0) dimension of 3-generator Artin groups [PDF]
, 2002 The three generator Artin groups A(m,n.2) are known to be have CAT(O) dimension strictly greater than two if both m and n are odd [BC]. In Chapter 1 we introduce the notions of CAT(O) dimension and three generator Artingroups.In Chapter 2 we show that if
Hanham, Paul Edward
core
Pro-p completions of groups of cohomological dimension 2 [PDF]
, 2017 CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOWe study when an abstract finitely presented group G of cohomological dimension cd(G) = 2 has pro-p completion (G) over cap (p) of cohomological dimension cd((G) over cap (p))
Kochloukova, Dessislava H.
core +3 more sources
Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic [PDF]
Épijournal de Géométrie AlgébriqueWe show that if $f\colon X \to T$ is a surjective morphism between smooth projective varieties over an algebraically closed field $k$ of characteristic $p>0$ with geometrically integral and non-uniruled generic fiber, then $K_{X/T}$ is pseudo ...
Zsolt Patakfalvi
doaj +1 more source
Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña +2 more
wiley +1 more source