Rugged Modules The Opposite Of Flatness

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

Rugged modules the opposite of flatness.

The opposite of flatness. The opposite of flatness. By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely. List of publications.

Introduced as a mean to gauge the extent of the flatness of any given module. View via publisher cite save feed. 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.

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. 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. Benli ring whose. 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. The use of the invariant factors of a module see below for definition are very appropriate here. In particular connections between rugged and poor modules are explored.

Request pdf rugged modules. López permouth joseph mastromatteo josé e. Every module is thus endowed with a flatness domain and for.