Page 1 NUMBER I77 T PH TO X /\!tal r" < - c: * Lu - -: *- < > KR Goodedr! and Ann K. Boyle
Dimension theory for nonsingular injective modules N/UEN/UOIRS OF THE AN/UERICAN N/UATHEN/UATICAL …

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 …

Introduction. Let A be a ring with identity and V a left A-module. Then there is the canonical
ring-homomorphism of A into the double centralizer of V and V is said to have the double …

The flat dimensions of injective modules Page 1 manuscripta math. 78, 165- 177 (1993)
manuscripta mathematica Spfinger-Verlag 1~3 THE FLAT DIMENSIONS OF INJECTIVE …

Introduction. Among Noetherian rings quasi-Frobenius rings are those which are self
injective [10, Theorem 18]. This paper is concerned primarily with Noetherian rings whose …

This is a study of the conditions under which smallness of proper submodules will influence
the structure of the endomorphism ring of a module. The case in which that endomorphism …

Localization in categories of modules. II Page 1 Localization in categories of modules. II By Kiiti
Morita at Tokyo To Wolfgang Krull on his seventieth birthday Let A be a ring with an identity and …

by Peter V~os A thesis submitted for the degree of Doctor of Philosophy Department of Pure
Mathematics, The Uni versi ty of Shef Page 1 LEN'GTH FUNCTIONS ON MODULES by Peter …

If R is left noetherian and M is a left R-module, then we can construct a complex called an
injective resolvent of M using injective precovers. Likewise, if R is left coherent and M is a …

M is called a dimension module if d (A+ B)= d (A)+ d (B)− d (A∩ B) holds for all submodules
A and B of M, where d (M) denotes the Goldie (uniform) dimension of a module M. We …