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Memoirs of the American Mathematical Society
2001; 125 pp; softcover
List Price: US$57
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Order Code: MEMO/149/707
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.
Graduate students and research mathematicians interested in associative rings and algebras.
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