\(\tau\)-complemented and \(\tau\)-supplemented modules

• Date: 2018
• Main Authors: Al-Takhman, Khaled, Lomp, Christian, Wisbauer, Robert
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: proper classes; neat and coneat submodules; \(\tau\)-supplemented,\(\tau\)-complemented and \(\tau\)-semiperfect modules; 16D90; 16E50; 16.E99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/893
• Journal Title: Algebra and Discrete Mathematics

Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Genera...