On pairs of subrings with a common set of proper ideals

Yasuyuki  Hirano; Hisaya  Tsutsui

doi:10.1155/IJMMS.2005.3261

International Journal of Mathematics and Mathematical Sciences (Jan 2005)

On pairs of subrings with a common set of proper ideals

Yasuyuki Hirano,
Hisaya Tsutsui

Affiliations

Yasuyuki Hirano: Department of Mathematics, Okayama University, Okayama 700-8530, Japan
Hisaya Tsutsui: Department of Mathematics, Embry-Riddle Aeronautical University, Prescott 86301, AZ, USA

DOI: https://doi.org/10.1155/IJMMS.2005.3261
Journal volume & issue: Vol. 2005, no. 20
pp. 3261 – 3268

Abstract

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A study of pairs of commutative rings with the same set of prime ideals appears in the literature. In this paper, we investigate pairs of subrings, not necessarily commutative, with a common set of proper ideals.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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