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Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler / 2021 / Cilt: 9 - Sayı: 2

𝑺𝑨-EXTENDING MODULES

Figen TAKIL MUTLU, Edanur TAŞTAN

Pages
54–59
DOI
—

Abstract

In this note we investigate modules with the 𝐴𝑑𝑠 and the 𝑆𝐼𝑃-extending properties. Besides many results obtained, we show that the class of 𝑆𝐴-extending modules is not closed under direct sums. Further we deal with direct summands of an 𝑆𝐴-extending module. We give necessary and sufficient conditions for a module to be an 𝑆𝐴-extending. It has been also shown that the concepts of 𝑈𝐶, 𝑆𝐴 and 𝑆𝐴-extending coincide when a module is distributive quasi continuous.