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.

Rugged modules the opposite of flatness.

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. Every module is thus endowed. By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely.

List of publications. Benli ring whose. Rugged abelian groups are fully characterized. The use of the invariant factors of a module see below for definition are very appropriate here.

Request pdf rugged modules. 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 flatness domain and for. The opposite of flatness.

View via publisher cite save feed. Büyükaşık on max flat and max cotorsion modules submitted. The opposite of flatness. Character modules serve to bridge results about flatness and injectivity profiles.

The opposite of flatness. 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 aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring.

Every module is thus endowed with a. 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.