A conjecture of Bavula on homomorphisms of Weyl algebra

"Vegeu el resum a l'inici del document del fitxer adjunt."

When is the second local multiplier algebra of a C*-algebra equal to the first?

We discuss necessary as well as sufficient conditions for the second iterated local multiplier algebra of a separable C*-algebra to agree with the first.

Graded algebra automorphisms

We consider the Clifford algebra C(q) of a regular quadratic space (V, q) over a field K with its structure of Z/2Z-graded K-algebra. We give a characterization of the group of graded automorphisms of C(q). In the last section we introduce the Z/nZ-graded algebras and we study as well as the group of graded automorphisms for some of them.

Vertailun vuoksi? : Boolen algebra alueellisen vertailun välineenä

English abstract

1.° Francisci Maurolyci de centro solidi parabolae demonstratio : praemittuntur catalogus ejusdem operum et observationes de ordine quo singula legenda sunt. — 2.° Descriptio hyperbolarum contrapositarum, diametrorum, tangentium, linearum continuè proportionalium et triangulorum aequalium : authore eodem. — 3.° Ejusdem algebra, sive potiùs, regulae calculi litteralis ad inveniendum terminum quemlibet proportionis geometricè continuae.

Colbertinus

Effect of knotting on polymer shapes and their enveloping ellipsoids.

We simulate freely jointed chains to investigate how knotting affects the overall shapes of freely fluctuating circular polymeric chains. To characterize the shapes of knotted polygons, we construct enveloping ellipsoids that minimize volume while containing the entire polygon. The lengths of the three principal axes of the enveloping ellipsoids are used to define universal size and shape descriptors analogous to the squared radius of gyration and the inertial asphericity and prolateness. We observe that polymeric chains forming more complex knots are more spherical and also more prolate than chains forming less complex knots with the same number of edges. We compare the shape measures, determined by the enveloping ellipsoids, with those based on constructing inertial ellipsoids and explain the differences between these two measures of polymer shape.

A Cartan-Eilenberg approach to Homotopical Algebra

In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects by an extension property analogous to the classical lifting property of projective modules. We define a Cartan-Eilenberg category as a category with strong and weak equivalences such that there is an equivalence of categories between its localisation with respect to weak equivalences and the relative localisation of the subcategory of cofibrant objects with respect to strong equivalences. This equivalence of categories allows us to extend the classical theory of derived additive functors to this non additive setting. The main examples include Quillen model categories and categories of functors defined on a category endowed with a cotriple (comonad) and taking values on a category of complexes of an abelian category. In the latter case there are examples in which the class of strong equivalences is not determined by a homotopy relation. Among other applications of our theory, we establish a very general acyclic models theorem.

代數學Dai shu xue.De Morgan's Algebra.

Traduction Chinoise par Alexander Wylie (1815-1887), rédigée par Li Shan lan, de Hai ning. Préface Chinoise par Wylie (1859) ; préface anglaise, écrite par le même à Shang hai (octobre 1859), contenant un historique des mathématiques en Chine. Imprimé en caractères mobiles, dans la maison Mo hai (1859).Livre préliminaire + 13 livres.

Validación matemática de un nuevo método para salvación de algunos tipos de problemas relacionados con algebra lineal

Tesis (Maestría en Ingenieria Industrial con Especialidad en Sistemas) UANL

Algebra [por] Miguel Angel Garza Tamez... [y otros]

UANL

Algebra [por] Miguel Angel Garza Tamez... [y otros]

UANL

Algebra [por] Miguel Angel Garza Tamez... [y otros]

UANL

Algebra [por] Miguel Angel Garza Tamez... [y otros]

UANL