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Quotient rings of polynomial rings

✍ Scribed by James A. Huckaba; Ira J. Papick


Publisher
Springer
Year
1980
Tongue
English
Weight
952 KB
Volume
31
Category
Article
ISSN
0025-2611

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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.

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