Rugged Modules 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.

Rugged modules the opposite of flatness.

Character modules serve to bridge results about flatness and injectivity profiles. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion. Rugged abelian groups are fully characterized. Benli ring whose.

View via publisher cite save feed. The opposite of flatness. The use of the invariant factors of a module see below for definition are very appropriate here. 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 aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring. 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.

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. Every module is thus endowed with a flatness domain and for. Every module is thus endowed with a.

The opposite of flatness. Every module is thus endowed. Request pdf 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. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. In particular connections between rugged and poor modules are explored.