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math.AC2026
Detecting Essential Ideals in Polynomial Rings
Amartya Goswami, Luca Mesiti
We characterize essential ideals in polynomial rings over a commutative ring with . We present several characterizations, letting vary among notable c…
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…