Prime structures in a Morita context

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Calci M. B., HALICIOĞLU S., Harmanci A., ÜNGÖR B.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, vol.26, no.3, pp.991-1001, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 26 Issue: 3
• Publication Date: 2020
• Doi Number: 10.1007/s40590-020-00295-y
• Journal Name: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
• Page Numbers: pp.991-1001
• Hacettepe University Affiliated: Yes

Abstract

In this paper, we study the primeness and semiprimeness of a Morita context. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal. In particular, we determine the conditions under which a Morita context is prime and semiprime.