Correct classes of modules

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Wisbauer, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156603
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Correct classes of modules / R. Wisbauer // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 106–118. — Бібліогр.: 18 назв. — англ.

For a ring R, call a class C of R-modules (pure-)
 mono-correct if for any M, N ∈ C the existence of (pure) monomorphisms M → N and N → M implies M ≃ N. Extending results
 and ideas of Rososhek from rings to modules, it is shown that, for
 an R-module M, the class σ[M] of all...