Published online by Cambridge University Press: 20 November 2018
In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the following definition.
Definition. A commutative ring R is called pseudo-Noetherian if it satisfies the following two conditions.