Results 41 to 50 of about 482,834 (118)
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Romanian Journal of Mathematics and Computer Science, 2015 Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj
On minimal presentations of numerical monoids
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 878-894, March 2025.Abstract We consider the classical problem of determining the largest possible cardinality of a minimal presentation of a numerical monoid with given embedding dimension and multiplicity. Very few values of this cardinality are known. In addressing this problem, we apply tools from Hilbert functions and free resolutions of artinian standard graded ...
Alessio Moscariello, Alessio Sammartano
wiley +1 more source
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
, 1997 We study approximately Gorenstein rings and modules which have small cofinite irreducibles (SCI). We give a criterion for a (not necessarily finitely generated) module over a local ring to have SCI via its Matlis dual.
Melkersson, Leif
core +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
Deligne tensor products of categories of modules for vertex operator algebras
, 2023 We show that if $\mathcal{U}$ and $\mathcal{V}$ are locally finite abelian categories of modules for vertex operator algebras $U$ and $V$, respectively, then the Deligne tensor product of $\mathcal{U}$ and $\mathcal{V}$ can be realized as a certain ...
McRae, Robert
core
Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals
, 2012 Let a be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-modules. Our main result asserts that if dim R/a ≤ 1, then all generalized local cohomology modules (M,N) are a-cofinite.
Kamran Divaani-Aazar, Alireza Hajikarimi
core +1 more source
A characterization result of cofinite local cohomology modules
, 2023 Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$, $M$ an arbitrary $R$-module and $N$ a finite $R$-module. We prove that \cite[Theorem 2.1]{Mel} and \cite[Proposition 3.3 (i)$\Leftrightarrow$(ii)]{B1} are true for any Serre subcategory of $
Melkersson, Leif, Aghapournahr, Moharram
core
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