Results 81 to 90 of about 30,075 (226)

Realization of spaces of commutative rings

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Motivated by recent work on the use of topological methods to study collections of rings between an integral domain and its quotient field, we examine spaces of subrings of a commutative ring, endowed with the Zariski or patch topologies. We introduce three notions to study such a space X$X$: patch bundles, patch presheaves and patch algebras.
Laura Cossu, Bruce Olberding
wiley   +1 more source

A nonembeddable Noetherian ring

Journal of Algebra, 1988
AbstractWe provide an example of a (left and right) Noetherian C-algebra which cannot be embedded into any Artinian ring.
J. T. Stafford, C. Dean
openaire   +2 more sources

Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
wiley   +1 more source

Rings Graded By a Generalized Group

Topological Algebra and its Applications, 2014
The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups.We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. Weprove that if I is a complete homogeneous ideal of a G-
Fatehi Farzad, Molaei Mohammad Reza
doaj   +1 more source

A comparison of Hochschild homology in algebraic and smooth settings

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.
Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

Noetherian rings of composite generalized power series

Open Mathematics
Let A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj   +1 more source

On the ideals of a Noetherian ring [PDF]

Transactions of the American Mathematical Society, 1985
We construct various examples of Noetherian rings with peculiar ideal structure. For example, there exists a Noetherian domain R R with a minimal, nonzero ideal I I , such that R / I R/I is a commutative polynomial ring in n n variables, and a
openaire   +1 more source

Density functions for epsilon multiplicity and families of ideals

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract A density function for an algebraic invariant is a measurable function on R$\mathbb {R}$ which measures the invariant on an R$\mathbb {R}$‐scale. This function carries a lot more information related to the invariant without seeking extra data.
Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi   +2 more
wiley   +1 more source

A Note on the Local Observability of Uniform Hypergraphs

PAMM, Volume 25, Issue 1, March 2025.
ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
wiley   +1 more source