Rings of quotients for a class of special Jordan rings
β Scribed by Susan Montgomery
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 704 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We derive a necessary and sufficient Ore type condition for a Jordan algebra to have a ring of fractions.
function q : U -+AS with q(u) = a, q(b) = 0, q(c) = c. Then q = a + 0 + c -a0 -ac be + abc = a + c. Corollary 2.9. If K = R a' s a field of chrircccteristl'c 0 and S is nny finite semilcctiice. each element of Qd(S) may be realized i i i IT(&').
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.