Rugged Modules The Opposite Of Flatness

In particular connections between rugged and poor modules are explored.

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

Character modules serve to bridge results about flatness and injectivity profiles. The opposite of flatness. 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.

Request pdf rugged modules. The opposite of flatness. The use of the invariant factors of a module see below for definition are very appropriate here. 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 collection of flatness domains of all of its modules is a lattice with respect to class inclusion. Rugged abelian groups are fully characterized. López permouth joseph mastromatteo josé e. By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely.

The collection of flatness domains of all of its modules is a lattice with respect to class inclusion. 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 opposite of flatness. Benli ring whose.

List of publications. Every module is thus endowed. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r.