On Finitely Generated Modules Over Noetherian Rings Page 1 ON FINITELY GENERATED
MODULES OVER NOETHERIAN RINGS BY JP JANS(Q) 0. Introduction. If A is a module over a …

The fimdam al result of AV Jategaonkar's im ortant paper is th, e following: If is a finitely
generated Noetherian ring, and) r is an essential submoduie of ml! dimens~ Q~ 4.2, then M …

In the latter part of the 1950's some interesting papers appeared (eg [2] and [10]) which
examined the relationships occurring between the purely algebraic and homological …

Duality in Noetherian Rings Page 1 DUALITY IN NOETHERIAN RINGS JP JANS' 0.
Introduction. Let A be a module over a ring R. The group A * = HomR(A, R) becomes an R-module …

1. In a recent paper in this journal [4], Vamos considered the dual of the notion of finitely
generated. He characterized modules having this property, which we shall call co-finitely …

The cousin complex for a module over a commutative Noetherian ring Page 1 Math. Z. 112,
340-356 (1969) The Cousin Complex for a Module over a Commutative Noetherian Ring …

The Eakin-Nagata theorem says that if $ T $ is a commutative Noetherian ring which is
finitely generated as a module over a subring $ R $, then $ R $ is also Noetherian. This …

Contains expository lectures from the CBMS Regional Conference in Mathematics held at
the University of Nebraska, June 1974. This book deals mainly with developments and still …

Given a module E and a map M→ N of modules, all over a commutative ring R, it is shown
that if fHom (N, E)→ Hom (M, E) is injective then so is fHom (⋀ n N, E)→ Hom (⋀ n M, E) …

Here a module M in which the submodules are linearly ordered under inclusion, is called a
serial module. A ring R is called a serial ring if-RR and~ R are direct sums of serial modules …