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Shephard–Todd–Chevalley Theorem for Skew Polynomial Rings

✍ Scribed by E. Kirkman; J. Kuzmanovich; J. J. Zhang

Book ID
106341766
Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
556 KB
Volume
13
Category
Article
ISSN
1386-923X

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An Algorithm for the Quillen–Suslin Theo
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✍ Reinhard Laubenbacher; Karen Schlauch 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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.