A family of local rings with rational Poincar\'e Series
Juan Elias, Giuseppe Valla
TL;DR
This paper computes the Poincaré Series for a specific class of local rings, demonstrating that it is rational, which advances understanding of their algebraic structure.
Contribution
It provides explicit calculations of the Poincaré Series for almost stretched Gorenstein local rings, showing their rationality.
Findings
Poincaré Series of these rings is rational
Explicit formulas for the series are derived
Enhances understanding of the algebraic properties of these rings
Abstract
In this note we compute the Poincare Series of almost stretched Gorenstein local rings. It turns out that it is rational
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models