15 AF-Rings and Locally Jaffard Rings
0 Introduction
AF-rings have been introduced by A.R. Wadsworth in [W] for computing the (Krull) dimension of the tensor product of A1 and A2, , where A1 and A2 are commutative algebras over a field k. Previously R.Y.Sharp proved in [S] that if K1 and K2 are extension fields of k, then
Since, for each prime ideal P of a k-algebra A, (cf.[ZS, p.10] and [W, p.392]), for giving a generalization of Sharp’s result, A.R. Wadsworth has studied the k-algebras A which satisfy the ...
Get Commutative Ring Theory now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.