Categories of Modules over Endomorphism Rings (Memoirs of the American Mathematical Society)

By Theodore G. Faticoni

The goal of this work is to develop a functional transfer of properties between a module A and the category *M *E of right modules over its endomorphism ring *E that is more sensitive than the traditional starting point Hom (A, .). The main result is a factorization q * A t* of the left adjoint T *A of Hom(, .), where t* is a category equivalence and q* is a forgetful functor. Applications include a characterization of the finitely generated submodules of the right *E-modules Hom (*A), a connection between quasi-projective modules and flat modules, an extension of some recent work on endomorphism rings of *S-quasi-projective modules, an extension of Fuller's Theorem, characterizations of several self-generating properties and injective properties, and a connection between *S-self-generators and quasi-projective modules.

• Format: Paperback
• Language: English
• ISBN: 0821825542
• ISBN13: 9780821825549
• Release Date: May 1993
• Publisher: Amer Mathematical Society
• Weight: 0.60 lbs.
• Dimensions: 10.0" x 0.5" x 7.0"