Abstract
The aim of this paper is to study the modules M with a finite direct sum decomposition M = M 1 ⊕ … ⊕ Mn such that all the endomorphism rings End(Mi ) are homogeneous semilocal. In particular, we find complete results about the uniqueness of such decompositions (Krull-Schmidt Theorem).
*Partially supported by Ministero dell'Università e della Ricerca Scientifica e Tecnologica (Italy) through the project “Teoria degli anelli, moduli e gruppi abeliani: metodi omologici, topologici e categoriali.”
Acknowledgments
Notes
*Partially supported by Ministero dell'Università e della Ricerca Scientifica e Tecnologica (Italy) through the project “Teoria degli anelli, moduli e gruppi abeliani: metodi omologici, topologici e categoriali.”