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math.AC2026
A Mayer-Vietoris calculus for regular denominators
Elena Caviglia, Amartya Goswami
Let be a commutative ring and let be an ideal. An element is a regular denominator for when multiplication by on is injective; we denote the set of a…
math.AC2025
On extensions of Cohen Structure Theorem
Elena Caviglia, Amartya Goswami, Luca Mesiti
The aim of this paper is to extend Cohen structure theorem beyond local rings. Both Cohen structure theorem and Nagata's generalization of it are special cases of our results. We i…