Algorithm 830: Another Visit With Standard and Modified Givens Transformations and A Remark on Algorithm 539

First we report on a correction and improvement to the Level 1 Blas routine srotmg for computing the Modified Givens Transformation (MG). We then, in the light of the performance of the code on modern compiler/hardware combinations, reconsider the strategy of supplying separate routines to compute and apply the transformation. Finally, we show that the apparent savings in multiplies obtained by using MG rather than the Standard Givens Transformation (SG) do not always translate into reductions in execution time

Invariant IdeaIs of Abelian Group AIgebras Under the Action of SimpIe Linear Groups

Invariant IdeaIs of Abelian Group AIgebras Under the Action of SimpIe Linear Groups

Algebraic Models for Contextual Nets

We extend the algebraic approach of Meseguer and Montanari from ordinary place/transition Petri nets to contextual nets, covering both the collective and the individual token philosophy uniformly along the two interpretations of net behaviors

PolynomiaI Identities in T-prime AIgebras

We survey results concerning the polynornial identities satisfied by "important" algebras. We discuss classical and new facts about the polynomial identities satisfied by the matrix algebra of order two, by the Grassmann (or exterior) algebra, and by its tensor square

Prime ideals of skew polynomial rings and skew laurent polynomial rings

Resumo não disponíve

The Role of Identities in Jordan AIgebras

Born of quantum mechanics, but abandoned at birth by physicists, Jordan algebras recovered to lead a productive life in a variety of mathematical fields

Dimension and Fox subgroups

This article is a survey of some results on the identification of groups given by ideaIs in the group ring of a group over the integers and in certain cases over the integers modulo p, a prime

Uma introdução aos T-espaços limites de F(x)

Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2013.Sejam F um corpo infinito e G a álgebra de Grassmann infinitamente gerada. Nesta dissertação descrevemos os polinômios centrais de G, denotado por C(G), quando car(F)≠ 2. Mostramos que C(G) é T-espaço limite quando car(F)>2 e finitamente gerado quando car(F)=0. O segundo resultado principal desta dissertação é a exibição de infinitos T-espaços limites quando car (F)>2. _______________________________________________________________________________________ ABSTRACTLet F be an infinite field and let G be the generated infinite Grassmann algebra. In this dissertation we describe the central polynomials of G, denoted by C(G), when char(F) 6 ≠ 2. We show that C(G) is limit T-space when char(F) > 2 and finitely generated when car(F) = 0. The second main result of this dissertation is the apresentation of infinite limit T-spaces. The results cited above were extract from the papers [5] and [11]