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The decomposition theorem for ideals in polynomial rings over a domain

✍ Scribed by Christine W Ayoub

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
598 KB
Volume
76
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

An Algorithm for the Quillen–Suslin Theo
An Algorithm for the Quillen–Suslin Theorem for Quotients of Polynomial Rings by Monomial Ideals
✍ 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.