Relatively divisible and relatively flat objects in exact categories: applications

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Crivei S., KESKİN TÜTÜNCÜ D.

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, cilt.32, sa.3, ss.365-384, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00200-021-00487-7
  • Dergi Adı: APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.365-384
  • Anahtar Kelimeler: Exact category, Divisible object, Flat object, Cotorsion pair, Finitely accessible additive category, Module category, Pure short exact sequence, Simple module, Jacobson radical, COHERENT RINGS, MODULES, NEAT, COVERS
  • Hacettepe Üniversitesi Adresli: Evet

Özet

For a Quillen exact category C endowed with two exact structures D and E such that E subset of D an object X of C is called E-divisible (respectively E-flat) if every short exact sequence from 7, starting (respectively ending) with X belongs to E. We continue our study of relatively divisible and relatively flat objects in Quillen exact categories with applications to finitely accessible additive categories and module categories. We derive consequences for exact structures generated by the simple modules and the modules with zero Jacobson radical.