Results 51 to 60 of about 645,410 (117)
Tensor categories of weight modules of sl̂2$\widehat{\mathfrak {sl}}_2$ at admissible level
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract The category of weight modules Lk(sl2)-wtmod$L_{k}(\mathfrak {sl}_2)\operatorname{-wtmod}$ of the simple affine vertex algebra of sl2$\mathfrak {sl}_2$ at an admissible level k$k$ is neither finite nor semisimple and modules are usually not lower‐bounded and have infinite‐dimensional conformal weight subspaces.
Thomas Creutzig
wiley +1 more source
Topological endomorphism rings of tilting complexes
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract In a compactly generated triangulated category, we introduce a class of tilting objects satisfying a certain purity condition. We call these the decent tilting objects and show that the tilting heart induced by any such object is equivalent to a category of contramodules over the endomorphism ring of the tilting object endowed with a natural ...
Michal Hrbek
wiley +1 more source
Using non-cofinite resolutions in shape theory. Application to Cartesian products [PDF]
, 2011 The strong shape category of topological spaces SSh can be defined using the coherent homotopy category CH, whose objects are inverse systems consisting of topological spaces, indexed by cofinite directed sets.
Mardešić, Sibe
core +1 more source
Special Example of the Finite Dimension in Local Cohomology Modules [PDF]
, 2013 Let, R be an total local ring, I an Ideal of R, and let M be a finitely generated R-module. Then H(M) Is I-cofinite in two cases. 1) I be a none zero principle Ideal. 2) I be a prime Ideal with dimension 1. In this paper we produce special example of the
Pooyandeh, Sara
core +1 more source
Generalized Cofinitely δ-Semiperfect Modules
Annals of the Alexandru Ioan Cuza University - Mathematics, 2013 Abstract Let R be a ring and M be a left R-module. M is called a cofinitely generalized (weak) δ-supplemented module or briey a δ-CGS-module (δ-CGWS-module) if every cofinite submodule of M has a generalized (weak) δ-supplement in M. In this paper, we give various properties of these modules. It is shown that (1) The class of cofinitely generalized
Yuzbasi, Figen, Eren, Senol
openaire +1 more source
Cofinitely eg-Supplemented Modules
, 2020 Let M be an R-module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module.
Nebiyev, Celil, Ökten, Hasan Hüseyin
core
Cofinite graphs and their profinite completions
, 2013 Electronic Thesis or DissertationWe generalize the work of B. Hartley, to the category of topological graphs. The completion of a topological group in Hartley's work can be thought of as a particular example of the completion of a general uniform space ...
Das, Bikash Chandra
core +2 more sources
Cofinite modules and local cohomology
, 1997 We show that if M is a finitely generated module over a commutative Noetherian local ring R and I is a dimension one ideal of R (i.e., dimRI = 1), then the local cohomology modules HIi(M) are I-cofinite; that is, ExtRj(RI, HIi(M)) is finitely generated ...
Donatella Delfino, Thomas Marley
core
Rad-circle plus-Supplemented Modules and Cofinitely Rad-circle plus-Supplemented Modules
, 2012 A module M is called (cofinitely) Rad-circle plus-supplemented if every (cofinite) submodule of M has a Rad-supplement that is a direct summand of M.
Tribak, Rachid +2 more
core +1 more source
On the Krull dimension of cofinite local cohomology modules
Let $\mathfrak {a}$ be an ideal of a Noetherian ring $R$ such that the category of $\mathfrak {a}$-cofinite modules is an Abelian subcategory of the category of $R$-modules.
Bahmanpour, Kamal
core