Listar Artículos (Álgebra) por fecha de publicación
Mostrando ítems 41-60 de 260
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Artículo
Conjugacy problem for braid groups and Garside groups
(Elsevier, 2003-08-01)We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented ...
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The nth root of a braid is unique up to conjugacy
(Mathematical Sciences Publishers, 2003-11-01)We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids.
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Bases for Projective modules in An(k)
(2003-12)Let $A_n(k)$ be the Weyl algebra, with $k$ a field of characteristic zero. It is known that every projective finitely ...
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Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
(Springer, 2004)In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity ...
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Explicit calculations in rings of differential operators
(Société Mathématique de France, 2004)We use the notion of a standard basis to study algebras of linear differential operators and finite type modules over ...
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Vassiliev invariants for braids on surfaces
(American Mathematical Society, 2004)We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev ...
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Continuous division of linear differential operators and faithful flatness of D∞X over DX
(Société Mathématique de France, 2004)In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf ...
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On the structure of the centralizer of a braid
(Elsevier, 2004)The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base ...
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On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero
(Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004)The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern.In this paper we explore how it changes by blowing–up.
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The local duality theorem in D-module theory
(Société Mathématique de France, 2004)These notes are devoted to the Local Duality Theorem for D-modules, which asserts that the topological Grothendieck-Verdier ...
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Capítulo de Libro
Nouvelle Cuisine for the Computation of the Annihilating Ideal of $f^s$
(2005)Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$ and let $D = D_n$ be the $n$-th Weyl algebra. The ...
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Estimates for singular multiplicative character sums
(Duke University Press, 2005)We give some estimates for multiplicative character sums on quasiprojective varieties over finite fields depending on the ...
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Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups
(American Mathematical Society, 2005)There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We ...
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The characteristic cohomology class of a triangulated category
(2005)The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated category.
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Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials
(2005)Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds ...
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Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
(Association des Annales de l'Institut Fourier, 2005)Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be ...
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Coefficient fields and scalar extension in positive characteristic
(Elsevier, 2005-03-15)Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We ...
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Searching for simultaneous arithmetic progressions on elliptic curves
(Australian Mathematical Society, 2005-06)We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
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On simultaneous arithmetic progressions on elliptic curves
(Taylor & Francis, 2006)In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We ...