Ulrich ideals in the ring k[[t5,t11]]-Reference-Cited by-同舟云学术

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Ulrich ideals in the ring k[[t5,t11]]

Published:2024-05 Issue:03 Volume:34 Page:351-369
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Endo Naoki¹^ORCID,Goto Shiro²^ORCID,Iai Shin-ichiro³^ORCID,Matsuoka Naoyuki²^ORCID

Affiliation:

1. School of Political Science and Economics, Meiji University, 1-9-1 Eifuku, Suginami-ku, Tokyo 168-8555, Japan

2. Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashi-mita, Tama-ku, Kawasaki 214-8571, Japan

3. Mathematics Laboratory, Sapporo College, Hokkaido University of Education, 1-3 Ainosato 5-3, Kita-ku, Sapporo 002-8502, Japan

Abstract

The Ulrich ideals in the semigroup rings [Formula: see text] and [Formula: see text] are determined, by describing the normal forms of systems of generators, where [Formula: see text] denotes the formal power series ring over a field k.

Funder

JSPS Grant-in-Aid for Young Scientists

JSPS Grant-in-Aid for Scientific Research

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196724500127

Reference8 articles.

1. Ulrich ideals in numerical semigroup rings of small multiplicity

2. Efficient generation of ideals in core subalgebras of the polynomial ring $k[t]$ over a field $k$

3. Ulrich ideals and 2-AGL rings

4. Ulrich ideals and modules

5. Ulrich ideals and almost Gorenstein rings

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