Browsing Artículos (Álgebra) by Title
Now showing items 2140 of 211

Álgebra computacional y programación entera no lineal [Article]
(Real Sociedad Matemática Española, 2016) 
Bases for Projective modules in An(k) [Article]
(200312)Let $A_n(k)$ be the Weyl algebra, with $k$ a field of characteristic zero. It is known that every projective finitely generated left module is free or isomorphic to a left ideal. Let $M$ be a left submodule of a free module. ...

Basic results on braid groups [Article]
(Université Blaise Pascal, 2011)These are Lecture Notes of a course given by the author at the FrenchSpanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be ...

Biorderings on pure braided Thompson's groups [Article]
(200803)In this paper it is proved that the pure braided Thompson’s group BF admits a biorder, analog to the biorder of the pure braid groups.

Big monodromy theorem for abelian varieties over finitely generated fields [Article]
(Elsevier, 201302)An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on ℓtorsion points, for almost all primes ℓ, contains the full symplectic group. We prove that all abelian varieties ...

Classification of subgroups of symplectic groups over finite fields containing a transvection [Article]
(De Gruyter Open, 201606)In this note, we give a selfcontained proof of the following classification (up to conjugation) of finite subgroups of GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G ...

Closures of positive braids and the MortonFranksWilliams inequality [Article]
(Elsevier, 20140901)We study the MortonFranksWilliams inequality for closures of simple braids (also known as positive permutation braids). This allows to prove, in a simple way, that the set of simple braids is a orthonormal basis for the ...

Coefficient fields and scalar extension in positive characteristic [Article]
(Elsevier, 20050315)Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We show that for any maximal ideal n of A′ = k(t)per ⊗k A, the elements in Ac′ n which are annihilated ...

Cohomologie évanescente padique: calculs locaux [Article]
(Università di Padova, 2000) 
Combinatorics of syzygies for semigroup algebras [Article]
(Universitat de Barcelona, 1998)We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the CohenMacaulay and Gorenstein conditions. The ...

Combinatorics on a family of reduced Kronecker coefficients [Article]
(Elsevier, 201510)The reduced Kronecker coefficients are particular instances of Kronecker coefficients that contain enough information to recover them. In this notes we compute the generating function of a family of reduced Kronecker ...

Commutation and normal ordering for operators on symmetric functions [Article]
(2015)We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators can be naturally defined by the operations of multiplication, Kronecker product, and their ...

Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials [Article]
(2005)Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the nth Weyl algebra. We provide upper bounds for the complexity of computing the annihilating ideal of f s = f s1 1 · · · f sp p in D[s] = D[s1, . ...

Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations [Article]
(American Mathematical Society, 201702)This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field ...

Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image [Article]
(Mathematical Sciences Publishers, 201603)This article is the second part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part is concerned with symplectic Galois ...

Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties [Article]
(Springer, 201504)This article is the third and last part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part proves the following new result ...

Computation of centralizers in braid groups and Garside groups [Article]
(Consejo Superior de Investigaciones Científicas, 2003)We give a new method to compute the centralizer of an element in Artin braid groups and, more generally, in Garside groups. This method, together with the solution of the conjugacy problem given by the authors in [9] ...

Computational methods in algebra and analysis [Article]
(Sociedad Española de Matemática Aplicada, 200709)This paper describes some applications of Computer Algebra to Algebraic Analysis also known as Dmodule theory, i.e. the algebraic study of the systems of linear partial differential equations. Gröbner bases for rings ...

Computing the rational torsion of an elliptic curve using Tate normal form [Article]
(Elsevier, 200209)It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, or n = 12) lie in a oneparameter family. However, this fact does not appear to have been used ever for ...

Conjugacy in Garside groups I: Cyclings, powers, and rigidity [Article]
(European Mathematical Society, 2007)In this paper a relation between iterated cyclings and iterated powers of elements in a Garside group is shown. This yields a characterization of elements in a Garside group having a rigid power, where ‘rigid’ means that ...