Rugged Modules The Opposite Of Flatness

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Rugged modules the opposite of flatness.

Every module is thus endowed with a. The opposite of flatness. The opposite of flatness. List of publications.

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. Rugged abelian groups are fully characterized. An alternative perspective on projectivity of modules volume 57 issue 1 chris holston sergio r.

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. Büyükaşık on max flat and max cotorsion modules submitted. Request pdf rugged modules.

López permouth joseph mastromatteo josé e. 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. Every module is thus endowed.

In particular connections between rugged and poor modules are explored. 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. Character modules serve to bridge results about flatness and injectivity profiles.

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