Amit Kuber

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math.LO2025

Model-theoretic $K_{1}$ for modules over semisimple rings: (weak) Morita invariance

Sourayan Banerjee, Amit Kuber

This paper is a sequel to a paper by the same authors, where they defined $K$ -groups of model-theoretic structures, and computed $K_{1}$ of free modules over PIDs. In this paper, we…

math.LO2024

Model-theoretic $K_{1}$ of free modules over PIDs

Sourayan Banerjee, Amit Kuber

Motivated by KrajiÄek and Scanlon's definition of the Grothendieck ring $K_{0} (M)$ of a first-order structure $M$ , we introduce the definition of $K$ -groups $K_{n} (M)$ for $n \geq 0$ vi…

Model-theoretic K1​ for modules over semisimple rings: (weak) Morita invariance

Model-theoretic K1​ of free modules over PIDs

Model-theoretic $K_{1}$ for modules over semisimple rings: (weak) Morita invariance

Model-theoretic $K_{1}$ of free modules over PIDs