Results 1 to 10 of about 1,258 (59)
Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras [PDF]
[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]
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]
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
Stable intersections of tropical varieties [PDF]
We give several characterizations of stable intersections of tropical cycles and establish their fundamental properties. We prove that the stable intersection of two tropical varieties is the tropicalization of the intersection of the classical varieties
A. Jensen, Josephine Yu
semanticscholar +2 more sources
Cluster algebras III: Upper bounds and double Bruhat cells [PDF]
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
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
Castelnuovo–Mumford regularity in biprojective spaces [PDF]
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
Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras [PDF]
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
Outer partial actions and partial skew group rings [PDF]
We extend the classicial notion of an outer action $\alpha$ of a group $G$ on a unital ring $A$ to the case when $\alpha$ is a partial action on ideals, all of which have local units.
Nystedt, Patrik, Öinert, Johan
core +1 more source
A Giambelli formula for even orthogonal Grassmannians [PDF]
Let X be an orthogonal Grassmannian parametrizing isotropic subspaces in an even dimensional vector space equipped with a nondegenerate symmetric form. We prove a Giambelli formula which expresses an arbitrary Schubert class in the singular and quantum ...
A. Buch, A. Kresch, Harry Tamvakis
semanticscholar +1 more source