Results 41 to 50 of about 571,712 (128)

Cohomological dimension, cofiniteness and Abelian categories of cofinite modules

Journal of Algebra, 2017
Let $R$ be a commutative Noetherian ring, $I$ be an ideal of $R$, and $M$ be an $R$-module. Recall that, the notion of the cohomological dimension of $M$ relative to $I$, denoted by $\mathrm{cd}(I,M)$, is defined to be the greatest integer $i$ such that $H_I^i(M)\neq 0$ if there exist such $i$'s and $-infty$ otherwise.
openaire   +2 more sources

The growth of Tate–Shafarevich groups of p$p$‐supersingular elliptic curves over anticyclotomic Zp${\mathbb {Z}}_p$‐extensions at inert primes

Mathematika, Volume 71, Issue 4, October 2025.
Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley   +1 more source

Algebraic relations between solutions of Painlevé equations

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract In this manuscript, we make major progress classifying algebraic relations between solutions of Painlevé equations. Our main contribution is to establish the algebraic independence of solutions of various pairs of equations in the Painlevé families; for generic coefficients, we show that all algebraic relations between solutions of equations ...
James Freitag, Joel Nagloo
wiley   +1 more source

Module categories of simple current extensions of vertex operator algebras [PDF]

, 2004
We study module categories of simple current extensions of rational C2-cofinite vertex operator algebras of CFT-type and prove that they are semisimple.
Yamauchi, Hiroshi
core   +1 more source

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, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

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

Module-trait relationships.

, 2022
Matrix showing the correlation between WGCNA modules (n = 10), and the sample categories IBDa, UCa, CDa, UCu and CDu. Undesignated genes were collected in the Grey module.
Siri Sæterstad (12231581), Arne Kristian Sandvik (10795191), Atle van Beelen Granlund (278468), Elin Synnøve Røyset (12005615), Ingunn Bakke (463955), Ann Elisabet Østvik (12231584)   +5 more
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

Red Guide Paper 42: Managing a Module Part 1: Delivering a Module [PDF]

, 2008
This revised guide covers various aspects of the process for developing a new module and provides an overview of the general principles of module ...
Smailes, Joanne, Thompson, Jamie, Turnock, Chris   +2 more
core