On finite generating sets of infinitely generated ideals

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.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-09-24
DOI
https://doi.org/10.1090/proc/17415
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On finite generating sets of infinitely generated ideals

Takafumi Shibuta
Proceedings of the American Mathematical Society
Commutative Algebra and Its Applications
article

On finite generating sets of infinitely generated ideals

Takafumi Shibuta
article en

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.

Proceedings of the American Mathematical Society
Kyushu Sangyo University (JP)
Openalex Percentile: Top 67%
Commutative Algebra and Its Applications
DOISourceOpenAlex
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On finite generating sets of infinitely generated ideals — Takafumi Shibuta · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS