Rugged Modules The Opposite Of Flatness

Introduced as a mean to gauge the extent of the flatness of any given module.

Rugged modules the opposite of flatness.

Benli ring whose. View via publisher cite save feed. Every module is thus endowed. Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.

The opposite of flatness. Rugged abelian groups are fully characterized. 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. Request pdf rugged modules. List of publications. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

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. The use of the invariant factors of a module see below for definition are very appropriate here. Every module is thus endowed with a.

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. Character modules serve to bridge results about flatness and injectivity profiles. In particular connections between rugged and poor modules are explored.

Büyükaşık on max flat and max cotorsion modules submitted. The opposite of flatness. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.