Rugged Modules The Opposite Of Flatness

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

Rugged modules the opposite of flatness.

Request pdf rugged modules. List of publications. Introduced as a mean to gauge the extent of the flatness of any given module. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

View via publisher cite save feed. Rugged abelian groups are fully characterized. López permouth joseph mastromatteo josé e. The use of the invariant factors of a module see below for definition are very appropriate here.

By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely. The opposite of flatness. Every module is thus endowed with a. The aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring.

In particular connections between rugged and poor modules are explored. The opposite of flatness. Every module is thus endowed. Büyükaşık on max flat and max cotorsion modules submitted.

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

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