Masato Fujita

activity

20232025

collaborators

4 papers

math.LO2025

Cardinality of the sets of dimension functions in ordered structures

Masato Fujita

We compute the cardinality $n_{d i m} (M)$ of the sets of dimension functions on the ordered structures $M$ . The inequality $\mathfrak n_{\dim}(\mathcal M…

math.LO2025

Nonvaluational ordered Abelian groups of finite burden

Masato Fujita

Consider an expansion $R = (R, <, +, \dots)$ of an ordered divisible Abelian group of finite burden defining no nonempty subset $X$ of $R$ which is dense and codense in a defi…

math.LO2024

There exists a d-minimal expansion of the $R$ -vector space over $R$ which defines every sequence

Masato Fujita

There exists a d-minimal expansion of the $R$ -vector space over $R$ which defines every sequence. In this paper, we prove this assertion and the following more gene…

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 $R$ -…

Cardinality of the sets of dimension functions in ordered structures

Nonvaluational ordered Abelian groups of finite burden

There exists a d-minimal expansion of the R-vector space over R which defines every sequence

Quasi-quadratic modules in pseudo-valuation domain

There exists a d-minimal expansion of the $R$ -vector space over $R$ which defines every sequence