On relative Baer property and relative <i>t</i>-Baer property of modules

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Amouzegar T., TERCAN A.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2025 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2025
• Doi Numarası: 10.1142/s1793557125500299
• Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, the notions of relative Baer and relative t-Baer modules are used to obtain characterizations of Baer modules and t-Baer modules. It is also proved that for R-modules M-1, M-2,& mldr;, M-n such that M-i is M-j-injective for all i < j is an element of{1, 2,& mldr;,n} and for an R-module N, the finite direct sum of M-i is N-Baer (respectively, N-t-Baer) if and only if M-i is N-Baer (respectively, N-t-Baer) for all i is an element of {1, 2,& mldr;,n}. We provide examples which illustrate our results.