COASSOCIATED PRIMES OF MODULES OVER A COMMUTATIVE RING Page 1 MATH. SCAND.
80 (1997), 175--187 CO ASSOCIATED PRIMES OF MODULES OVER A COMMUTATIVE …

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 …

Throughout this paper the rings R and S are commutative with a non-zero identity element
and cp: R-, S is a ring homomorphism. The theory of associated primes is very important in …

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 …

Let 𝑅 be a commutative ring with identity. A unital 𝑅-module 𝑀 is a comultiplication module
provided for each submodule 𝑁 of 𝑀 there exists an ideal 𝐴 of 𝑅 such that 𝑁 is the set of …

Given a commutative ring S and the proper subring R of S, it is shown that if each proper
subring of S containing R is Artinian, then S is Artinian. Examples are given to show that the …

PM Cohn [6] has defined the notion of a pure submodule. Subsequently CP Walker [21], B.
StenstrSm [19] and DP Choudhury and K. Tewari [5] have introduced notions of copurity as …

Attached primes and secondary representations were introduced in 1973 by Macdonald [IG
Macdonald, Secondary representation of modules over a commutative ring, Sympos. Math …

It is proved that if R is a right FBN ring then a non-zero right R-module M has the property
that HomR (M, N)≠ 0 for every non-zero submodule N of M if and only if HomR (M, R/P)≠ 0 …

The theory of associated prime ideals is one of the most basic notions in the study of
modules over commutative Noetherian rings. For modules over non-Noetherian rings …