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, cilt.26, sa.3, ss.991-1001, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40590-020-00295-y
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.991-1001
  • Anahtar Kelimeler: Morita context, Prime ideal, Semiprime ideal, Prime radical, Prime ring, Semiprime ring
  • Ankara Üniversitesi Adresli: Evet

Özet

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.