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» Decomposing Algebraic Varieties
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ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 9 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
SIAMCOMP
2000
97views more  SIAMCOMP 2000»
13 years 5 months ago
Complexity of Some Problems Concerning Varieties and Quasi-Varieties of Algebras
In this paper we consider the complexity of several problems involving finite algebraic structures. Given finite algebras A and B, these problems ask the following. (1) Do A and B ...
Clifford Bergman, Giora Slutzki
ORDER
2006
128views more  ORDER 2006»
13 years 5 months ago
Algebras Defined from Ordered Sets and the Varieties they Generate
We investigate ways of representing ordered sets as algebras and how the order relation is reflected in the algebraic properties of the variety (equational class) generated by the...
Joel Berman, Willem J. Blok
CC
2010
Springer
135views System Software» more  CC 2010»
13 years 5 months ago
Counting Irreducible Components of Complex Algebraic Varieties
Abstract. We present an algorithm for counting the irreducible components of a complex algebraic variety defined by a fixed number of polynomials encoded as straight-line programs ...
Peter Bürgisser, Peter Scheiblechner