Results 41 to 50 of about 645,410 (117)

Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products

, 2023
This is the first paper of a three-part series in which we develop a theory of conformal blocks for $C_2$-cofinite vertex operator algebras (VOAs) that are not necessarily rational.
Zhang, Hao, Gui, Bin
core  

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

On cofinitely weak rad-supplemented modules

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
In this paper, necessary and sufficient conditions for a quotient module are found to be a cofinitely weak Rad-supplemented module under which circumstances. Nevertheless, some relations are investigated between cofinitely Rad-supplemented modules and cofinitely weak Rad-supplemented modules.
ERYILMAZ, Figen, EREN, Şenol
openaire   +2 more sources

Cofiniteness of modules and local cohomology

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
Let $A$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $A$ and let $n$ be a non-negative integer. In this paper, we study $\mathcal{S}_{n}(\mathfrak{a})$, a certain class of $A$-modules and we find some sufficient conditions so that a module belongs to $\mathcal{S}_{n}(\mathfrak{a})$.
Sabzeh, Hajar, Sazeedeh, Reza
openaire   +3 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

On Weakly Laskerian and Weakly Cofinite Modules

Algebra Colloquium, 2012
Let R be a commutative Noetherian ring with non-zero identity, 𝔞 an ideal of R and M a finitely generated R-module. We assume that N is a weakly Laskerian R-module and r is a non-negative integer such that the generalized local cohomology module [Formula: see text] is weakly Laskerian for all i < r.
Khashyarmanesh, Kazem, Kosan, M. Tamer, Sahinkaya, Serap   +2 more
openaire   +4 more sources

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

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.
core   +2 more sources

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