Results 81 to 90 of about 16,887 (181)
For an f-ring with bounded inversion property, we show that , the set of all basic z-ideals of , partially ordered by inclusion is a bounded distributive lattice.
Ali Taherifar
doaj
Denseness and Zariski denseness of Jones braid representations
Using various tools from representation theory and group theory, but without using hard classification theorems such as the classification of finite simple groups, we show that the Jones representations of braid groups are dense in the complex Zariski ...
Kuperberg, Greg
core
A Hilton–Milner theorem for exterior algebras
Abstract Recent work of Scott and Wilmer and of Woodroofe extends the Erdős–Ko–Rado theorem from set systems to subspaces of k$k$‐forms in an exterior algebra. We prove an extension of the Hilton–Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.
Denys Bulavka +2 more
wiley +1 more source
The Avoidance Spectrum of Alexandroff Spaces
In this paper we prove that every T0 Alexandroff topological space (𝑋, 𝜏) is homeomorphic to the avoidance of a subspace of (Spec(Λ), 𝜏𝑍), where Spec(Λ) denotes the prime spectrum of a semi-ring Λ induced by 𝜏, and 𝜏𝑍 is the Zariski topology.
Jorge Vielma, Luis Mejias
doaj +1 more source
Existence and orthogonality of stable envelopes for bow varieties
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley +1 more source
Algebraic properties of indigenous semirings
In this paper, we introduce Indigenous semirings and show that they are examples of information algebras. We also attribute a graph to them and discuss their diameters, girths, and clique numbers.
Hussein Behzadipour +2 more
doaj +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
k-spaces of non-domain-valued geometric points
The aim of this paper is to study the topological properties of algebraic sets with zero divisors. We impose a subbasic topology on the set of proper ideals of a k-algebra and this new “k-space” becomes a generalization of the corresponding Zariski space.
Amartya Goswami
doaj +1 more source
A non-commutative topology on rep A
We extend the Zariski topology on simp A, the finite dimensional simple A-representations, to a non-commutative topology (in the sense of Fred Van Oystaeyen) on rep A, all finite dimensional A-representations, using Jordan-Holder filtrations.
Bruyn, Lieven Le
core

