Rugged Modules The Opposite Of Flatness

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Rugged modules the opposite of flatness.

An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r. The opposite of flatness relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module. View via publisher cite save feed. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

Character modules serve to bridge results about flatness and injectivity profiles. Request pdf rugged modules. The aim of this paper is to study conditions which reflect the projectivity of a given finitely generated flat module over a commutative ring. 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. List of publications. Every module is thus endowed. Büyükaşık on max flat and max cotorsion modules submitted.

Every module is thus endowed with a. The opposite of flatness. Every module is thus endowed with a flatness domain and for. Rugged abelian groups are fully characterized.

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

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