Results 1 to 10 of about 42,367 (77)

Universal deformation rings of modules for algebras of dihedral type of polynomial growth [PDF]

open access: yes, 2012
Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski.
FM Bleher   +12 more
core   +1 more source

Strongly graded groupoids and strongly graded Steinberg algebras [PDF]

open access: yes, 2018
We study strongly graded groupoids, which are topological groupoids $\mathcal G$ equipped with a continuous, surjective functor $\kappa: \mathcal G \to \Gamma$, to a discrete group $\Gamma$, such that $\kappa^{-1}(\gamma)\kappa^{-1}(\delta) = \kappa^{-1}(
Clark, Lisa Orloff   +2 more
core   +2 more sources

Growth of generating sets for direct powers of classical algebraic structures [PDF]

open access: yes, 2010
For an algebraic structure A denote by d(A) the smallest size of a generating set for A, and let d(A)=(d(A),d(A2),d(A3),…), where An denotes a direct power of A.
Quick, Martyn, Ruskuc, Nik
core   +1 more source

Lie Dimension Subrings [PDF]

open access: yes, 2013
We compare, for L a Lie ring over the integers, its lower central series (\gamma_n(L))_{n>0} and its dimension series defined by \delta_n(L):=L\cap \varpi^n(L) in the universal enveloping algebra of L.
Bir S. Passi, Inder, Laurent Bartholdi
core   +1 more source

On a nilpotence conjecture of J.P. May [PDF]

open access: yes, 2015
We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., $H_\infty$-ring spectra. Using an explicit nilpotence bound on the torsion elements in $K(n)$-local $H_\infty$-algebras over $E_n$, we ...
Mathew, Akhil   +2 more
core   +1 more source

Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras [PDF]

open access: yes, 2016
We prove that ample groupoids with sigma-compact unit spaces are equivalent if and only if they are stably isomorphic in an appropriate sense, and relate this to Matui's notion of Kakutani equivalence.
Carlsen, Toke Meier   +2 more
core   +3 more sources

Baer and Baer *-ring characterizations of Leavitt path algebras

open access: yes, 2017
We characterize Leavitt path algebras which are Rickart, Baer, and Baer $*$-rings in terms of the properties of the underlying graph. In order to treat non-unital Leavitt path algebras as well, we generalize these annihilator-related properties to ...
Hazrat, Roozbeh, Vas, Lia
core   +1 more source

Hochschild cohomology of group extensions of quantum symmetric algebras [PDF]

open access: yes, 2010
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this
Communicated Martin Lorenz   +3 more
core   +3 more sources

Three infinite families of reflection Hopf algebras

open access: yes, 2019
Let $H$ be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra $A$, homogeneously, inner-faithfully, preserving the grading on $A$, and so that $A$ is an $H$-module algebra.
Ferraro, Luigi   +3 more
core   +1 more source

Blocks in flat families of finite-dimensional algebras

open access: yes, 2017
We study the behavior of blocks in flat families of finite-dimensional algebras. In a general setting we construct a finite directed graph encoding a stratification of the base scheme according to the block structures of the fibers.
Thiel, Ulrich
core   +1 more source

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