EXACTNESS OF IDEAL TRANSFORMS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES

• Published in: Journal of the Korean Mathematical Society Vol. 52; no. 6; pp. 1253 - 1270
• Main Author: BAHMANPOUR, KAMAL
• Format: Journal Article
• Language: Korean
• Published: 2015
• Subjects: local cohomology; cohomological dimension; Noetherian ring; ideal transform

Let (R, m) be a commutative Noetherian local domain, M a non-zero finitely generated R-module of dimension n > 0 and I be an ideal of R. In this paper it is shown that if $x_1,{\ldots },x_t$ ($1{\leq}t{\leq}n$) be a sub-set of a system of parameters for M, then the R-module $H^t_{(x_1,{\ldots },x...