Authors
Citation
J. Trlifaj, EVERY ASTERISK-MODULE IS FINITELY GENERATED, Journal of algebra, 169(2), 1994, pp. 392-398
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00218693
Volume
169
Issue
2
Year of publication
1994
Pages
392 - 398
Database
ISI
SICI code
0021-8693(1994)169:2<392:EAIFG>2.0.ZU;2-6
Abstract
We solve one of the main problems of the theory of representable equiv
alences of module categories: we prove that every -module over an arb
itrary associative ring R with unit is finitely generated. Consequentl
y, we obtain the equality of the classes of all -modules and all quas
i-progenerators provided that R is commutative. (C) 1994 Academic Pres
s, Inc.