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A Module is Flat if and Only if its Character Module is Injective

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Publication:5730961
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DOI10.4153/CMB-1964-021-9zbMath0119.27601MaRDI QIDQ5730961

Joachim Lambek

Publication date: 1964

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)


zbMATH Keywords

rings, modules, fields



Related Items (17)

On pure acyclic complexes. ⋮ h-Divisible Modules ⋮ Unnamed Item ⋮ Weak injective covers and dimension of modules ⋮ Flat and Projective Character Modules ⋮ Flat-precover completing domains ⋮ Purity and flatness in symmetric monoidal closed exact categories ⋮ K-flatness and orthogonality in homotopy categories ⋮ On A Class of Soc-Injective Modules ⋮ Restricted homological properties of modules ⋮ A lemma on flatness ⋮ On certain properties and invariants of graded rings and modules ⋮ Harmanci Injectivity of Modules ⋮ On flat finitely generated ideals ⋮ Characterizations of some rings with C-projective, C-(FP)-injective and C-flat modules ⋮ Almost Dual Pairs and Definable Classes of Modules ⋮ Covers induced by Ext




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