Rugged Modules The Opposite Of Flatness

Rugged abelian groups are fully characterized.

Rugged modules the opposite of flatness.

Every module is thus endowed with a flatness domain and for. Request pdf rugged modules. The opposite of flatness relative notions of flatness are 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.

The opposite of flatness. López permouth joseph mastromatteo josé e. The opposite of flatness. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

The aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring. In particular connections between rugged and poor modules are explored. Introduced as a mean to gauge the extent of the flatness of any given module. Benli ring whose.

Büyükaşık on max flat and max cotorsion modules submitted. View via publisher cite save feed. Every module is thus endowed. Character modules serve to bridge results about flatness and injectivity profiles.

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. Every module is thus endowed with a. The use of the invariant factors of a module see below for definition are very appropriate here. 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. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.