Polynomial Identities
Mostrando 13-15 de 15 artigos, teses e dissertações.
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13. Identidades graduadas para algebras de matrizes
The study of graded polynomial identities was motivated by its many applications to Polynomial Identities Theory, like the structure theory developed by A. Kemer. Afterwards it has become an independent object of study. The graded identities can give us interesting information about the ordinary identities. At first working with matrices of order n over infi
Publicado em: 2003
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14. PI-Algebras
This dissertation introduces the first notions of the combinatorial study of the theory of algebras that satisfy polynomial identities (the so-called P I -algebras), as well as some of their most important results. We present the theorems due to Kaplansky and Regev, about the tensor product of P 1-algebras. Besides, we describe some results due to Amitsur an
Publicado em: 2003
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15. Eulerian Graphs and Polynomial Identities for Sets of Matrices
Let the standard identity of degree m be given by [Formula: see text] Then the minimum standard identity is determined for the set of all n × n skew-symmetric matrices over a field of characteristic 0.