Browsing Artículos (Álgebra) by Title
Now showing items 164183 of 211

Searching for simultaneous arithmetic progressions on elliptic curves [Article]
(Australian Mathematical Society, 200506)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.

Secondary homotopy groups [Article]
(De Gruyter, 200807)Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also ...

Semblanza del profesor don Gonzalo Sánchez Vázquez [Article]
(Federación Española de Profesores de Matemáticas, 199706) 
Smash products for secondary homotopy groups [Article]
(Springer, 200810)We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cupone products, Toda brackets and Whitehead products are considered.

Solving the conjugacy problem in Garside groups by cyclic sliding [Article]
(Elsevier, 201006)We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is theoretically simpler than the usual one, with no loss of efficiency. This is done by replacing the well ...

Some combinatorial remarks on normal flatness in analytic spaces [Article]
(Mathematical Society of the Republic of China, 201406)In this article we present a combinatorial treatment of normal flatness in analytic spaces, using the idea of equimultiple standard bases. We will prove, using purely combinatorial methods, a characterization theorem for ...

Some geometric aspects of Puiseux surfaces [Article]
(European Mathematical Society, 2003)The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series), using ...

Specializations of MacMahon symmetric functions and the polynomial algebra [Article]
(Elsevier, 20020306)A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the ...

Strongly quasipositive links with braid index 3 have positive Conway polynomial [Article]
(World Scientific, 201610)Strongly quasipositive links are those links which can be seen as closures of positive braids in terms of band generators. In this paper we give a necessary condition for a link with braid index 3 to be strongly quasipositive, ...

Sudokus and Gröbner Bases: not only a Divertimento [Chapter of Book]
(2006)Sudoku is a logicbased placement puzzle. We recall how to translate this puzzle into a 9colouring problem which is equivalent to a (big) algebraic system of polynomial equations. We study how far Gröbner bases techniques ...

Sumando la derivada de la serie geométrica [Article]
(Asociación Matemática Venezolana, 2003) 
Sur l’irréductibilité d’une induite parabolique [Article]
(De Gruyter, 2009)Let F be a nonArchimedean locally compact field and let D be a central division algebra over F. Let p1 and p2 be respectively two smooth irreducible representations of GLðn1; DÞ and GLðn2; DÞ, n1; n2 f0. In this article, ...

Symmetric functions in noncommuting variables [Article]
(American Mathematical Society, 2006)Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all ...

Tame Galois realizations of GSp4 (Fℓ) over Q [Article]
(Oxford University Press, 2011)In this paper we obtain realizations of the 4dimensional general symplectic group over a prime field of characteristic ℓ > 3 as the Galois group of a tamely ramified Galois extension of Q. The strategy is to consider ...

The 1type of a Waldhausen Ktheory spectrum [Article]
(Elsevier, 20071201)We give a small functorial algebraic model for the 2stage Postnikov section of the Ktheory spectrum of a Waldhausen category and use our presentation to describe the multiplicative structure with respect to biexact functors.

The algebra of secondary homotopy operations in ring spectra [Article]
(London Mathematical Society, 2011)The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R and ...

The analytic standard fan of a Dmodule [Article]
(Elsevier, 20011024)We extend to the analytic Dmodule case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic ...

The characteristic cohomology class of a triangulated category [Article]
(2005)The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoidenriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated ...

The computation of the logarithmic cohomology for plane curves [Article]
(Elsevier, 20091201)We will give algorithms of computing bases of logarithmic cohomology groups for squarefree polynomials in two variables.

The conservation relation for cuspidal representations [Article]
(Springer, 201201)Let π ∈ Cusp (U(Vn)) be a smooth cuspidal irreducible representation of a unitary group U(Vn) of dimension n over a nonArchimedean locally compact field. Let W± m the two isomorphism classes of Hermitian spaces of dimension ...