Every module is thus endowed.
Rugged modules the opposite of flatness.
By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely.
An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r.
List of publications.
Abstract in a recent paper aydoǧdu and lopez permouth have defined a module m to be n subinjective if every homomorphism n m extends to some e n m where e n is the injective hull of n.
López permouth joseph mastromatteo josé e.
Benli ring whose.
Character modules serve to bridge results about flatness and injectivity profiles.
Introduced as a mean to gauge the extent of the flatness of any given module.
Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.
In particular connections between rugged and poor modules are explored.
Rugged abelian groups are fully characterized.
The opposite of flatness.
If r is a ring whose regular left modules are semisimple then a right module m is rugged if and only if its character left module m is poor.
Every module is thus endowed with a.
The aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring.
The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.
The opposite of flatness.
The opposite of flatness relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.
Büyükaşık on max flat and max cotorsion modules submitted.
Request pdf rugged modules.
The use of the invariant factors of a module see below for definition are very appropriate here.
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The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.