About unital and non-unital duo rings

Mart Abel; Eva-Lotta Elmanovitš

doi:10.3176/proc.2024.1.10

Proceedings of the Estonian Academy of Sciences (Feb 2024)

About unital and non-unital duo rings

Mart Abel,
Eva-Lotta Elmanovitš

Affiliations

Mart Abel: School of Digital Technologies, Tallinn University, Narva mnt. 25, 10120 Tallinn, Estonia Institute of Mathematics and Statistics, University of Tartu, Liivi 2, 50409 Tartu, Estonia; [email protected], [email protected]
Eva-Lotta Elmanovitš: School of Digital Technologies, Tallinn University, Narva mnt 25, Room A-416, 10120 Tallinn, Estonia; Institute of Mathematics and Statistics, University of Tartu, Narva mnt 18, Room 4078, 51009 Tartu, Estonia

DOI: https://doi.org/10.3176/proc.2024.1.10
Journal volume & issue: Vol. 73, no. 1
pp. 92 – 97

Abstract

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Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper. For example, the characterization of one-sided duo rings and duo rings is given, and it is shown that all idempotents of a duo ring commute with all elements of the ring and that every prime ideal is completely prime.

Published in Proceedings of the Estonian Academy of Sciences

ISSN: 1736-6046 (Print); 1736-7530 (Online)
Publisher: Estonian Academy Publishers
Country of publisher: Estonia
LCC subjects: Science
Website: https://eap.ee/proceedings/

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