The MathNet Korea
Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Kodai Mathematical Journal
( Vol. 29 NO.3 / (2006))
The finiteness of co-associated primes of local homology modules
Tran Tuan Nam,
Pages. 383-390
Abstract Let $M$ be a semi-discrete linearly compact module over a
commutative noetherian ring $R$ and $i$ a non-negative integer. We
show that the set of co-associated primes of the local homology
$R$-module $H^I_j(M)$ is finite in either of the following cases:
(i) The $R$-modules $H^I_j(M)$ are finite for all $j < i$; (ii) $I
subseteq$ Rad(Ann$_R(H^I_j(M))$ for all $j < i$. By Matlis duality we extend
some results for the finiteness of associated primes of local
cohomology modules $H^i_I(M)$.
Contents 1. Introduction
2. Premilinaries
3. The finiteness of co-associated primes
Key words linearly compact module, local homology, local cohomology, co-associated prime, associated prime
Mathmatical Subject Classification 13D45, 16E30, 13J99