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.

The collection of flatness domains of all of its modules is a lattice with respect to class inclusion. Rugged abelian groups are fully characterized. View via publisher cite save feed. The opposite of flatness.

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

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

Every module is thus endowed. Büyükaşık on max flat and max cotorsion modules submitted. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. List of publications.

The use of the invariant factors of a module see below for definition are very appropriate here. Every module is thus endowed with a flatness domain and for. Benli ring whose. The opposite of flatness.

Every module is thus endowed with a. By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely. Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.