Work

On finite generating sets of infinitely generated ideals

Year: 2025

Type: article

Abstract: This paper presents a novel approach to constructing finite generating sets for infinitely generated ideals. By integrating algebraic and computational techniques, we provide a method to identify finite generators, demonstrated through illustrative examples.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17415

Author: Takafumi Shibuta

Institution: Kyushu Sangyo University

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Algebraic analysis of deformations of non-isolated singularities, computational complex analysis and algorithms