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The extension property for free modules

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Publication:6054093
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DOI10.1007/s12215-022-00852-6MaRDI QIDQ6054093

S. Abdelalim, Mostafa El Garn, Abdelhak Chaïchaâ

Publication date: 24 October 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)


zbMATH Keywords

torsionfree moduleintegral domaintorsion-free element and homothety


Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Integral domains (13G05) General module theory in associative algebras (16D10)




Cites Work

  • Characterization of the automorphisms of an Abelian group having the extension property
  • Torsion-free and mixed abelian groups
  • A Characterization of Inner Automorphisms
  • The Extension Property in the Category of Direct Sum of Cyclic Torsion-Free Modules over a BFD
  • The automorphisms having the extension property in a category of a finite direct sum of cyclic modules
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