M. Kageyama

collaborators

2 papers

math.AC2023

Quasi-quadratic modules in pseudo-valuation domain

Masato Fujita, Masaru Kageyama

We study quasi-quadratic modules in a pseudo-valuation domain $A$ whose strict units admit a square root. Let $X_{R}^{N}$ denote the set of quasi-quadratic modules in an $R$ -…

math.LO2005

Grothendieck rings of o-minimal expansions of ordered abelian groups

M. Kageyama, M. Fujita

We will calculate completely the Grothendieck rings, in the sense of first order logic, of o-minimal expansions of ordered abelian groups by introducing the notion of the bounded E…