Rugged Modules The Opposite Of Flatness

Büyükaşık on max flat and max cotorsion modules submitted.

Rugged modules the opposite of flatness.

The use of the invariant factors of a module see below for definition are very appropriate here. Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module. 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. View via publisher cite save feed.

The collection of flatness domains of all of its modules is a lattice with respect to class inclusion. Benli ring whose. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. 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 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. The opposite of flatness. Request pdf rugged modules.

Rugged abelian groups are fully characterized. López permouth joseph mastromatteo josé e. In particular connections between rugged and poor modules are explored. Every module is thus endowed with a.

Introduced as a mean to gauge the extent of the flatness of any given module. The opposite of flatness. The opposite of flatness. Every module is thus endowed.

The opposite of flatness. 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 flatness domain and for.