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The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices

✍ Scribed by Youla, D.; Pickel, P.


Book ID
111861716
Publisher
IEEE
Year
1984
Weight
722 KB
Volume
31
Category
Article
ISSN
0098-4094

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An Algorithm for the Quillen–Suslin Theo
✍ Reinhard Laubenbacher; Karen Schlauch πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 307 KB

This paper presents an algorithm for the Quillen-Suslin Theorem for quotients of polynomial rings by monomial ideals, that is, quotients of the form A = k[x 0 , . . . , xn]/I, with I a monomial ideal and k a field. Vorst proved that finitely generated projective modules over such algebras are free.