On Jónsson algebras over a commutative ring (Q1110574)

Let \(R\subseteq T\) be commutative rings with common identity. Then T is said to be a J-algebra over R (or a J-extension of R, or else Jónsson \(\omega_ 0\)-generated algebra) if and only if T is not finitely generated over R, but each proper intermediate ring is finitely generated over R. From the introduction: ``In this paper we seek to determine the class of ring that admit a J-extension.'' Contents: Introduction, 1. Preliminaries, 2. J-algebras over a Noetherian ring, \(3.\quad J-algebras\) over a field, \(4.\quad Rings\) that admit a J- extension, \(5.\quad The\) quotient field of a J-extension of an integral domain, \(6.\quad General\) structure theory of J-extensions.