Rugged Modules The Opposite Of Flatness

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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. 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 use of the invariant factors of a module see below for definition are very appropriate here. The collection of flatness domains of all of its modules is a lattice with respect to class inclusion.

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. List of publications. Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any given module.

Every module is thus endowed with a. Büyükaşık on max flat and max cotorsion modules submitted. López permouth joseph mastromatteo josé e. View via publisher cite save feed.

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

In particular connections between rugged and poor modules are explored. Introduced as a mean to gauge the extent of the flatness of any given module. The opposite of flatness. By translating the description by bourbaki 4 of finitely generated projective modules one can state that projectivity flatness finitely.

Rugged abelian groups are fully characterized. Character modules serve to bridge results about flatness and injectivity profiles. Every module is thus endowed.