Zobrazeno 1 - 10
of 174 566
pro vyhledávání: '"álgebra"'
Autor:
Zelich, Ivan
We introduce the notion of indivisible sequences and show that to any indivisible sequence $\{S, \Psi: S \to R\}$ we can associate faithfully flat ring maps $R \to R'$ that are not descendable. As a corollary, we obtain the first example of a faithfu
Externí odkaz:
http://arxiv.org/abs/2411.19944
We prove that the Kontsevich graph complex $GC_d^{2}$ and its oriented version $OGC_{d+1}^2$ are quasi-isomorphic as dg Lie algebras.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2411.19657
Davydov-Yetter cohomology $H_{\mathrm{DY}}^{\bullet}(F)$ is associated to a monoidal functor $F: \mathcal{C} \to \mathcal{D}$ between $\Bbbk$-linear monoidal categories where $\Bbbk$ is a field, and its second degree classifies the infinitesimal defo
Externí odkaz:
http://arxiv.org/abs/2411.19111
We study how the properties of being reduced, integral domain, and normal, behave under small perturbations of the defining equations of a noetherian local ring. It is not hard to show that the property of being a local integral domain (reduced, norm
Externí odkaz:
http://arxiv.org/abs/2411.19011
Autor:
Bachmann, Henrik, Yaddaden, Khalef
We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broader algebraic setting in which we give a natural equivalence between t
Externí odkaz:
http://arxiv.org/abs/2411.18952
Autor:
Almirón, Patricio
The aim of this survey is to explore complete intersection monomial curves from a contemporary perspective. The main goal is to help readers understand the intricate connections within the field and its potential applications. The properties of any m
Externí odkaz:
http://arxiv.org/abs/2411.19260
Autor:
Gran, Marino, Sciandra, Andrea
Hopf braces have been introduced as a Hopf-theoretic generalization of skew braces. Under the assumption of cocommutativity, these algebraic structures are equivalent to matched pairs of actions on Hopf algebras, that can be used to produce solutions
Externí odkaz:
http://arxiv.org/abs/2411.19238
We compare two henselisations of a residually discrete valuation domain. Our constructive proof that a certain natural morphism is an isomorphism is also a proof in classical mathematics. Although this isomorphism is implicitly accepted as obvious in
Externí odkaz:
http://arxiv.org/abs/2411.18186
We give an explicit presentation of a family of finite-dimensional pointed Hopf algebras over an algebraically closed field of characteristic zero that constitute all liftings of Nichols algebras of diagonal Cartan type $B_{3}$ over a finite abelian
Externí odkaz:
http://arxiv.org/abs/2411.18857
We propose a new approach to studying hyperbolic Kac-Moody algebras, focussing on the rank-3 algebra $\mathfrak{F}$ first investigated by Feingold and Frenkel. Our approach is based on the concrete realization of this Lie algebra in terms of a Hilber
Externí odkaz:
http://arxiv.org/abs/2411.18754