Rugged Modules The Opposite Of Flatness

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

Rugged modules the opposite of flatness.

López permouth joseph mastromatteo josé e. The opposite of flatness. View via publisher cite save feed. Every module is thus endowed with a flatness domain and for.

Every module is thus endowed with a. Rugged abelian groups are fully characterized. Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module. Request pdf rugged modules.

The collection of flatness domains of all of its modules is a lattice with respect to class inclusion. By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely. Character modules serve to bridge results about flatness and injectivity profiles. 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.

Benli ring whose. The opposite of flatness. In particular connections between rugged and poor modules are explored. List of publications.

Büyükaşık on max flat and max cotorsion modules submitted. 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 relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.

The opposite of flatness. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion. Every module is thus endowed.