Asymptotic behavior of integral closures, quintasymptotic primes and ideal topologies
R Naghipour, P Schenzel - 2018 - projecteuclid.org
Let R be a Noetherian ring, N a finitely generated R-module and I an ideal of R. It is shown
that the sequences Ass_RR/(I^n)_a^(N), Ass_R(I^n)_a^(N)/(I^n+1)^(N)_a and …
that the sequences Ass_RR/(I^n)_a^(N), Ass_R(I^n)_a^(N)/(I^n+1)^(N)_a and …
Some results on top local cohomology modules with respect to a pair of ideals
S Jahandoust, R Naghipour - Mathematica Bohemica, 2020 - dml.cz
Let $ I $ and $ J $ be ideals of a Noetherian local ring $(R,\mathfrak m) $ and let $ M $ be a
nonzero finitely generated $ R $-module. We study the relation between the vanishing of …
nonzero finitely generated $ R $-module. We study the relation between the vanishing of …
[PDF][PDF] Quintasymptotic primes, local cohomology and ideal topologies
AA Mehrvarz, R Naghipour… - Colloquium …, 2006 - researchgate.net
Let Φ be a system of ideals on a commutative Noetherian ring R, and let S be a
multiplicatively closed subset of R. The first result shows that the topologies defined by {Ia} …
multiplicatively closed subset of R. The first result shows that the topologies defined by {Ia} …
A note on quintasymptotic prime ideals
S Jahandoust, R Naghipour - Journal of Pure and Applied Algebra, 2014 - Elsevier
Let R denote a commutative Noetherian ring, I an ideal of R, and let S be a multiplicatively
closed subset of R. In Ratliff (1976)[7], Ratliff showed that the sequence of sets Ass RR/I¯⊆ …
closed subset of R. In Ratliff (1976)[7], Ratliff showed that the sequence of sets Ass RR/I¯⊆ …