The Spectrum Of A Module Category

Download or read book The Spectrum of a Module Category written by Henning Krause and published by American Mathematical Soc.. This book was released on 2001 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present an introduction into the spectrum of the category of modules over a ring. We discuss the general theory of pure-injective modules and concentrate on the isomorphism classes of indecomposable pure-injective modules which form the underlying set of this spectrum. The interplay between the spectrum and the category of finitely presented modules provides new insight into the geometrical and homological properties of the category of finitely presented modules. Various applications from representation theory of finite dimensional algebras are included.