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.

Rugged modules the opposite of flatness.

Character modules serve to bridge results about flatness and injectivity profiles. List of publications. The opposite of flatness. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

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. The opposite of flatness. López permouth joseph mastromatteo josé e. Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.

Request pdf rugged modules. Benli ring whose. The opposite of flatness relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module. 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.

View via publisher cite save feed. Every module is thus endowed with a. Büyükaşık on max flat and max cotorsion modules submitted. Introduced as a mean to gauge the extent of the flatness of any given module.

The use of the invariant factors of a module see below for definition are very appropriate here. Every module is thus endowed. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. Rugged abelian groups are fully characterized.

In particular connections between rugged and poor modules are explored. Every module is thus endowed with a flatness domain and for. The aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring.