Cofiniteness of torsion functors of a pair of cofinite modules
Autor: | Kamal Bahmanpour |
---|---|
Rok vydání: | 2021 |
Předmět: |
Noetherian ring
Pure mathematics Algebra and Number Theory Functor Mathematics::Commutative Algebra Cofiniteness 010102 general mathematics Dimension (graph theory) Mathematics::General Topology 010103 numerical & computational mathematics Mathematics::Spectral Theory Local cohomology 01 natural sciences Mathematics::Quantum Algebra Torsion (algebra) Ideal (ring theory) 0101 mathematics Commutative property Mathematics |
Zdroj: | Communications in Algebra. 49:2837-2850 |
ISSN: | 1532-4125 0092-7872 |
DOI: | 10.1080/00927872.2021.1883045 |
Popis: | Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Tor i R ( N , M ) are I-cofinite for all i ≥ 0 if M and N are I-cofinite R-modules and N is of dimension at most... |
Databáze: | OpenAIRE |
Externí odkaz: |