Chain conditions on composite Hurwitz series rings

Author:

Lim Jung Wook1,Oh Dong Yeol2

Affiliation:

1. Department of Mathematics, Kyungpook National University, Daegu, 41566, Republic of Korea

2. Department of Mathematics Education, Chosun University, Gwangju, 61452, Republic of Korea, dongyeol70@gmail.com

Abstract

Abstract In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference20 articles.

1. Chain conditions in special pullbacks;C. R. Acad. Sci. Paris,2012

2. Ideal structure of Hurwitz series ring;Contrib. Alg. Geom.,1997

3. S-Noetherian properties on amalgamated algebras along an ideal;J. Pure Appl. Algebra,2014

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