Open AccessEvery Σ-CS-module has an indecomposable decomposition
Author(s) -
José Gómez Pardo,
Pedro A. Guil Asensio
Publication year - 2000
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-00-05654-9
Subject(s) - indecomposable module , annotation , semantics (computer science) , decomposition , computer science , sigma , type (biology) , algorithm , mathematics , discrete mathematics , programming language , artificial intelligence , chemistry , biology , physics , organic chemistry , quantum mechanics , ecology
We show that every Σ \Sigma -CS module is a direct sum of uniform modules, thus solving an open problem posed in 1994 by Dung, Huynh, Smith and Wisbauer. With the help of this result we also answer several other questions related to indecomposable decompositions of CS-modules.