Some bounds for the annihilators of local cohomology and Ext modules

Fathi, Ali. "Some bounds for the annihilators of local cohomology and Ext modules." Czechoslovak Mathematical Journal 72.1 (2022): 265-284. <http://eudml.org/doc/297439>.

@article{Fathi2022,
abstract = {Let $\mathfrak \{a\}$ be an ideal of a commutative Noetherian ring $R$ and $t$ be a nonnegative integer. Let $M$ and $N$ be two finitely generated $R$-modules. In certain cases, we give some bounds under inclusion for the annihilators of $\{\rm Ext\}^t_R(M, N)$ and $\{\rm H\}^t_\{\mathfrak \{a\}\}(M)$ in terms of minimal primary decomposition of the zero submodule of $M$, which are independent of the choice of minimal primary decomposition. Then, by using those bounds, we compute the annihilators of local cohomology and Ext modules in certain cases.},
author = {Fathi, Ali},
journal = {Czechoslovak Mathematical Journal},
keywords = {local cohomology module; Ext module; annihilator; primary decomposition},
language = {eng},
number = {1},
pages = {265-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some bounds for the annihilators of local cohomology and Ext modules},
url = {http://eudml.org/doc/297439},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Fathi, Ali
TI - Some bounds for the annihilators of local cohomology and Ext modules
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 1
SP - 265
EP - 284
AB - Let $\mathfrak {a}$ be an ideal of a commutative Noetherian ring $R$ and $t$ be a nonnegative integer. Let $M$ and $N$ be two finitely generated $R$-modules. In certain cases, we give some bounds under inclusion for the annihilators of ${\rm Ext}^t_R(M, N)$ and ${\rm H}^t_{\mathfrak {a}}(M)$ in terms of minimal primary decomposition of the zero submodule of $M$, which are independent of the choice of minimal primary decomposition. Then, by using those bounds, we compute the annihilators of local cohomology and Ext modules in certain cases.
LA - eng
KW - local cohomology module; Ext module; annihilator; primary decomposition
UR - http://eudml.org/doc/297439
ER -