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Peak reduction technique in commutative algebra | | Vladimir Shpilrain
; Jie-Tai Yu
; | | Date: |
20 Dec 1999 | | Subject: | Algebraic Geometry | math.AG | | Affiliation: | CCNY) and Jie-Tai Yu (HKU | | Abstract: | The "peak reduction" method is a powerful combinatorial technique with applications in many different areas of mathematics as well as theoretical computer science. It was introduced by Whitehead, a famous topologist and group theorist, who used it to solve an important algorithmic problem concerning automorphisms of a free group. Since then, this method was used to solve numerous problems in group theory, topology, combinatorics, and probably in some other areas as well. In this paper, we give a survey of what seems to be the first applications of the peak reduction technique in commutative algebra and affine algebraic geometry. | | Source: | arXiv, math.AG/9912156 | | Services: | Forum | Review | PDF | Favorites | |
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