Pesquisas demonstram que as disciplinas matematicas de cursos de graduacao para formacao de nao matematicos, nos quais se incluem as Engenharias, representam obstaculos para os alunos, principalmente ingressantes. Nas Engenharias, o... more
Pesquisas demonstram que as disciplinas matematicas de cursos de graduacao para formacao de nao matematicos, nos quais se incluem as Engenharias, representam obstaculos para os alunos, principalmente ingressantes. Nas Engenharias, o desinteresse por tais disciplinas, a forma como sao usualmente trabalhadas e a pouca integracao entre elas e demais disciplinas componentes dos nucleos basico, profissionalizante e especifico tem ocasionado inumeras reprovacoes. Esse fator tambem tem sido parcialmente responsabilizado pelos altos indices de evasao. Visando contribuir para a integracao entre as disciplinas em servico e as demais disciplinas das Engenharias, investigamos quais conteudos presentes nas disciplinas matematicas sao mobilizados nas disciplinas nao matematicas de um curso de Engenharia Eletrica, do qual se apresenta inicialmente a estrutura pedagogica. Pesquisa-se inicialmente a disciplina Geometria Analitica. Observa-se como os oito eixos organizadores do curso fazem uso de seu...
Let G be a group and K a field. We denote by (KG) the group of units of the group ring of G over K and for a group X we denote by T(X) the setof torsion elements of G i.e., the set of all elements of finite order.
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Let G be a group and K a field. We shall denote by U(KG) the group of units of the group ring of G over K. Also, if X is a group, T(X) will denote the torsion subset of X, i.e., the set of all elements of finite order in X.Group... more
Let G be a group and K a field. We shall denote by U(KG) the group of units of the group ring of G over K. Also, if X is a group, T(X) will denote the torsion subset of X, i.e., the set of all elements of finite order in X.Group theoretical properties of U(KG) have been studied intensively in recent years and it has been found that some conditions about U(KG) imply that T = T(G) must be a subgroup of G and that every idempotent of KT must be central in KG.
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We study the group of automorphisms of the group algebra QG, where Gis a metacyelic group of order 2nwith presentation
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Let KG be the group ring of a group G over a field K, and U its group of units. Given a group H, we shall denote by ξ(H) the center of H and by T(H) the set of all its torsion elements. The following question appears in [5, p. 231]: When... more
Let KG be the group ring of a group G over a field K, and U its group of units. Given a group H, we shall denote by ξ(H) the center of H and by T(H) the set of all its torsion elements. The following question appears in [5, p. 231]: When is Un ⊂ ξ (U), for some n? It was considered by G. Cliff and S. K. Sehgal in [1], where G is assumed to be a solvable group. A complete answer at characteristic zero is given there. Also they obtain partial results at characteristic p ≠ 0, with certain restrictions on the exponent n.
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Research Interests:
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... 4 GM Benkart and JM Osborn, Derivations and automorphisms of nonassociative matrix algebras, Trans. Amer. Math. Soc. 263:411430 (1981). 5 S. Jondrup, Automorphisms of upper triangular matrix rings, Arch. Math. 49:497502 (1987). 6 D.... more
... 4 GM Benkart and JM Osborn, Derivations and automorphisms of nonassociative matrix algebras, Trans. Amer. Math. Soc. 263:411430 (1981). 5 S. Jondrup, Automorphisms of upper triangular matrix rings, Arch. Math. 49:497502 (1987). 6 D. Mathis, Differential polynomial rings ...