Results 1 to 10 of about 2,587,857 (78)
Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 [in "Special Issue : Lie Computations", G. Jacob, V. Koseleff, Eds.]
Gérard Duchamp +3 more
doaj +1 more source
On the Noether bound for noncommutative rings [PDF]
Proceedings of the American Mathematical Society, 2019 We present two noncommutative algebras over a field of characteristic zero that each posses a family of actions by cyclic groups of order $2n$, represented in $n \times n$ matrices, requiring generators of degree $3n$.
Luigi Ferraro +3 more
semanticscholar +1 more source
Formalized linear algebra over Elementary Divisor Rings in Coq [PDF]
Log. Methods Comput. Sci., 2016 This paper presents a Coq formalization of linear algebra over elementary divisor rings, that is, rings where every matrix is equivalent to a matrix in Smith normal form.
Guillaume Cano +4 more
semanticscholar +1 more source
Cluster algebras III: Upper bounds and double Bruhat cells [PDF]
, 2003 We continue the study of cluster algebras initiated in math.RT/0104151 and math.RA/0208229. We develop a new approach based on the notion of an upper cluster algebra, defined as an intersection of certain Laurent polynomial rings.
A. Berenstein, S. Fomin, A. Zelevinsky
semanticscholar +1 more source
Castelnuovo–Mumford regularity in biprojective spaces [PDF]
, 2002 We define the concept of regularity for bigraded modules over a bigraded polynomial ring. In this setting we prove analogs of some of the classical results on m-regularity for graded modules over polynomial algebras.
J. W. Hoffman, And Hao, H. Wang
semanticscholar +1 more source
Quantum cluster algebras [PDF]
, 2004 Cluster algebras were introduced by S. Fomin and A. Zelevinsky in math.RT/0104151; their study continued in math.RA/0208229, math.RT/0305434. This is a family of commutative rings designed to serve as an algebraic framework for the theory of total ...
Andrei Zelevinsky +11 more
core +4 more sources
, 2010 Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
core +2 more sources
Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras [PDF]
, 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
A=U for Locally Acyclic Cluster Algebras [PDF]
, 2014 This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster ...
Muller, Greg
core +3 more sources
Fine Hochschild invariants of derived categories for symmetric algebras [PDF]
, 2006 Let $A$ be a symmetric $k$-algebra over a perfect field $k$. K\"ulshammer defined for any integer $n$ a mapping $\zeta\_n$ on the degree 0 Hochschild cohomology and a mapping $\kappa\_n$ on the degree 0 Hochschild homology of $A$ as adjoint mappings of ...
Zimmermann, Alexander
core +2 more sources