@article{bwmeta1.element.bwnjournal-article-cmv76z1p105bwm, author = {Claus Ringel}, title = {The Ziegler spectrum of a tame hereditary algebra}, journal = {Colloquium Mathematicae}, volume = {78}, year = {1998}, pages = {105-115}, zbl = {0901.16006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv76z1p105bwm} }
Ringel, Claus. The Ziegler spectrum of a tame hereditary algebra. Colloquium Mathematicae, Tome 78 (1998) pp. 105-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv76z1p105bwm/
[000] [B] W. Baur, On the elementary theory of quadruples of vector spaces, Ann. Math. Logic 19 (1980), 243-262. | Zbl 0453.03010
[001] [CB] W. Crawley-Boevey, Infinite-dimensional modules in the representation theory of finite-dimensional algebras, Trondheim lectures, 1996.
[002] [DR1] V. Dlab and C. M. Ringel, Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976).
[003] [DR2] V. Dlab and C. M. Ringel, The representations of tame hereditary algebras, in: Representation Theory of Algebras (Proc. Philadelphia Conf. 1976), Lecture Notes in Pure Appl. Math. 37, Marcel Dekker, 1978, 329-353.
[004] [DF] P. Donovan and M. R. Freislich, The Representation Theory of Finite Graphs and Associated Algebras, Carleton Math. Lecture Notes 5, Carleton Univ., Ottawa, 1973.
[005] [Gg] W. Geigle, The Krull-Gabriel dimension of the representation theory of a tame hereditary algebra and applications to the structure of exact sequences, Manuscripta Math. 54 (1985), 83-106. | Zbl 0593.16022
[006] [G] G. Geisler, Zur Modelltheorie von Moduln, Dissertation, Freiburg/Brg., 1994, 276 pp.
[007] [H] I. Herzog, Elementary duality of modules, Trans. Amer. Math. Soc. 340 (1993), 37-69. | Zbl 0815.16002
[008] [JL] C. U. Jensen and H. Lenzing, Model Theoretic Algebra, Gordon and Breach, New York, 1989.
[009] [K] H. Krause, The endocategory of a module, in: CMS Conf. Proc. 18, Amer. Math. Soc., 1996, 419-432. | Zbl 0852.16003
[010] [P1] M. Prest, Tame categories of modules and decidability, preprint, Univ. of Liverpool, 1985.
[011] [P2] M. Prest, Model Theory and Modules, London Math. Soc. Lecture Note Ser. 130, Cambridge Univ. Press, 1988.
[012] [P3] M. Prest, Ziegler spectra of tame hereditary algebras, preprint 1997.
[013] [R1] C. M. Ringel, Infinite-dimensional representations of finite-dimensional hereditary algebras, in: Sympos. Math. 23, Academic Press, 1979, 321-412.
[014] [R2] C. M. Ringel, Tame algebras, in: Proceedings ICRA 2, Lecture Notes in Math. 831, Springer, 1980, 137-287.
[015] [R3] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
[016] [R4] C. M. Ringel, A construction of endofinite modules, in: Adv. Algebra Model Theory, Gordon and Breach, London, to appear.
[017] [Z] M. Ziegler, Model theory of modules, Ann. Pure Appl. Logic 26 (2) (1984), 149-213. | Zbl 0593.16019