Infinitary linear combinations in reduced cotorsion modules
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 3, article no. 2, 22 p.
@article{CTGDC_2009__50_3_189_0,
     author = {B\"orger, Reinhard and Kemper, Ralf},
     title = {Infinitary linear combinations in reduced cotorsion modules},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     eid = {2},
     pages = {189--210},
     publisher = {Andr\'ee CHARLES EHRESMANN},
     volume = {50},
     number = {3},
     year = {2009},
     mrnumber = {2553539},
     zbl = {1184.13033},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_2009__50_3_189_0/}
}
TY  - JOUR
AU  - Börger, Reinhard
AU  - Kemper, Ralf
TI  - Infinitary linear combinations in reduced cotorsion modules
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 2009
SP  - 189
EP  - 210
VL  - 50
IS  - 3
PB  - Andrée CHARLES EHRESMANN
UR  - http://archive.numdam.org/item/CTGDC_2009__50_3_189_0/
LA  - en
ID  - CTGDC_2009__50_3_189_0
ER  - 
%0 Journal Article
%A Börger, Reinhard
%A Kemper, Ralf
%T Infinitary linear combinations in reduced cotorsion modules
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 2009
%P 189-210
%V 50
%N 3
%I Andrée CHARLES EHRESMANN
%U http://archive.numdam.org/item/CTGDC_2009__50_3_189_0/
%G en
%F CTGDC_2009__50_3_189_0
Börger, Reinhard; Kemper, Ralf. Infinitary linear combinations in reduced cotorsion modules. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 3, article  no. 2, 22 p. http://archive.numdam.org/item/CTGDC_2009__50_3_189_0/

[1] B. Banaschewski and H. Herrlich, Subcategories defined by implications, Houston Math. J. 2 (1976), 149-171 | MR | Zbl

[2] L. Fuchs, Infinite Abelian Groups I, Academic Press, New York (1970) | MR | Zbl

[3] L. Fuchs and L. Salce, Modules over non-nœtherian Domains, Mathematical Surveys and Monographs, Amer. Math. Soc. 84 (2001) | MR | Zbl

[4] R. Göbel and S. Shelah, Cotorsion Theories and Splitters, Trans. Amer. Math. Soc. 352 (2000) | MR | Zbl

[5] R. Göbel and J. Trlifaj, Approximations and Endomorphism Algebras of Modules, Expositions in Mathematics 41, de Gruyter, Berlin 2006 | MR | Zbl

[6] P. Gabriel and F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Mathematics 221, Springer, Berlin 1971 | MR | Zbl

[7] R. Kemper, Die Kategorie der R-Hypermoduln über einem vollständigen Bewertungsring R, Habilitationsschrift, FernUniversität, Hagen 1998

[8] F.E.J. Linton, Autonomous equational Categories, J. Math. Mech. 15 (1966), 637-642 | MR | Zbl

[9] E. Matlis, Cotorsion Modules, Mem. Amer. Math. Soc. 49 (1964) | MR | Zbl

[10] D. Pumplün and H. Röhrl, Banach spaces and totally convex spaces I, Communications in Algebra 12 (1984), 953-1019 | MR | Zbl

[11] A.C.M. Van Rooij, Non-archimedean Functional Analysis ; Pure and Applied Mathematics 51 ; Marcel Dekker, New York (1978) | MR | Zbl