Rugged Modules The Opposite Of Flatness

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

Rugged modules the opposite of flatness.

The use of the invariant factors of a module see below for definition are very appropriate here. View via publisher cite save feed. List of publications. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

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 opposite of flatness. 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. 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. 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 opposite of flatness relative notions of flatness are 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. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. Character modules serve to bridge results about flatness and injectivity profiles.

The opposite of flatness. In particular connections between rugged and poor modules are explored. 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.

By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely. Every module is thus endowed with a. Rugged abelian groups are fully characterized.