Results 101 to 110 of about 97,313 (257)
On -extensions of commutative rings
AbstractWe study Zp-extensions of a commutative ring R. Some general properties corresponding to the finite Galois theory by Chase, Harrison and Rosenberg are proved. After that, we consider Zp-extensions of commutative rings of characteristic p. We describe the structure of a Zp-extension and the Zp-module T(Zp, R) of the isomorphism classes of Zp ...
Antonio Paques+2 more
openaire +2 more sources
Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale+2 more
wiley +1 more source
Étale motives of geometric origin
Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
wiley +1 more source
VIC-modules over noncommutative rings
For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$.
Putman, Andrew, Sam, Steven V
core
Diagonalisasi matriks atas ring dengan metode pemfaktoran secara lengkap
Generally, discussion about diagonalization of matrices in linear algebra is a matrix over the field. This research presents the diagonalization of matrices over commutative rings.
Nikita Nikita+2 more
doaj +1 more source
Presentation of kernels of rational characters of right‐angled Artin groups
Abstract In this note, we characterise when the kernel of a rational character of a right‐angled Artin group, also known as generalised Bestiva–Brady group, is finitely generated and finitely presented. In these cases, we exhibit a finite generating set and a presentation.
Montserrat Casals‐Ruiz+2 more
wiley +1 more source
Noncrossed Product Matrix Subrings and Ideals of Graded Rings
We show that if a groupoid graded ring has a certain nonzero ideal property and the principal component of the ring is commutative, then the intersection of a nonzero twosided ideal of the ring with the commutant of the principal component of the ring is
Lundström, Patrik, Öinert, Johan
core
Nontautological cycles on moduli spaces of smooth pointed curves
Abstract In recent work by Arena, Canning, Clader, Haburcak, Li, Mok, and Tamborini, it was proven that for infinitely many values of g$g$ and n$n$, there exist nontautological algebraic cohomology classes on the moduli space Mg,n$\mathcal {M}_{g,n}$ of smooth genus g$g$, n$n$‐pointed curves.
Dario Faro, Carolina Tamborini
wiley +1 more source
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
On the universal pairing for 2‐complexes
Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov+2 more
wiley +1 more source