Rugged Modules The Opposite Of Flatness

Every module is thus endowed.

Rugged modules the opposite of flatness.

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. The use of the invariant factors of a module see below for definition are very appropriate here. Introduced as a mean to gauge the extent of the flatness of any given module. Every module is thus endowed with a.

López permouth joseph mastromatteo josé e. 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.

The opposite of flatness. In particular connections between rugged and poor modules are explored. 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.

Every module is thus endowed with a flatness domain and for. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. List of publications. 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. 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. Character modules serve to bridge results about flatness and injectivity profiles. 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.