On the local cohomology of powers of ideals in idealizations

PH Nam - Periodica Mathematica Hungarica, 2023 - Springer
Let (R, m) be a Noetherian local ring and M a finitely generated R-module. Let A= R⋉ M be
the idealization of M over R and Q an ideal in A. Set q= ρ (Q), where ρ: R⋉ M→ R is the …

On the uniform bound of reducibility index of parameter ideals of idealizations

PH Nam - Journal of Algebra and Its Applications, 2023 - World Scientific
Let (R, 𝔪) be a Noetherian local ring and M a finitely generated R-module. In this paper, we
study the polynomial type and the sequential polynomial type of the idealization R⋉ M of R …