Infinitary linear combinations in reduced cotorsion modules
Börger, Reinhard ; Kemper, Ralf
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009), p. 189-210 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2009-01-01
@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},
     volume = {50},
     year = {2009},
     pages = {189-210},
     mrnumber = {2553539},
     zbl = {1184.13033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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) pp. 189-210. http://gdmltest.u-ga.fr/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 401867 | Zbl 0344.18002

[2] L. Fuchs, Infinite Abelian Groups I, Academic Press, New York (1970) | MR 111783 | Zbl 0209.05503

[3] L. Fuchs and L. Salce, Modules over non-nœtherian Domains, Mathematical Surveys and Monographs, Amer. Math. Soc. 84 (2001) | MR 1794715 | Zbl 0973.13001

[4] R. Göbel and S. Shelah, Cotorsion Theories and Splitters, Trans. Amer. Math. Soc. 352 (2000) | MR 1661246 | Zbl 0962.20039

[5] R. Göbel and J. Trlifaj, Approximations and Endomorphism Algebras of Modules, Expositions in Mathematics 41, de Gruyter, Berlin 2006 | MR 2251271 | Zbl 1121.16002

[6] P. Gabriel and F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Mathematics 221, Springer, Berlin 1971 | MR 327863 | Zbl 0225.18004

[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 190205 | Zbl 0146.25104

[9] E. Matlis, Cotorsion Modules, Mem. Amer. Math. Soc. 49 (1964) | MR 178025 | Zbl 0135.07801

[10] D. Pumplün and H. Röhrl, Banach spaces and totally convex spaces I, Communications in Algebra 12 (1984), 953-1019 | MR 735910 | Zbl 0552.46042

[11] A.C.M. Van Rooij, Non-archimedean Functional Analysis ; Pure and Applied Mathematics 51 ; Marcel Dekker, New York (1978) | MR 512894 | Zbl 0396.46061