Remarks on P.I. algebras over finite fields
β Scribed by Amitai Regev
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 515 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We present new, efficient algorithms for some fundamental computations with finitedimensional (but not necessarily commutative) associative algebras over finite fields. For a semisimple algebra A we show how to compute a complete Wedderburn decomposition of A as a direct sum of simple algebras, an i
We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t
## Abstract In this paper we study the Newton polygon of the __L__ βpolynomial __L__ (__t__) associate to the Picard curves __y__^3^ = __x__^4^ β 1,β__y__^3^ = __x__^4^ β __x__ defined over a finite field π½~__p__~ . In the former case we get a complete classification. In the latter case we obtai
We get an explicit formula for the number of solutions of a diagonal equation over finite fields, under a certain natural restriction on the exponents.