The Ziegler spectrum of a tame hereditary algebra

Claus Ringel

Colloquium Mathematicae (1998)

  • Volume: 76, Issue: 1, page 105-115
  • ISSN: 0010-1354

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Ringel, Claus. "The Ziegler spectrum of a tame hereditary algebra." Colloquium Mathematicae 76.1 (1998): 105-115. <http://eudml.org/doc/210544>.

@article{Ringel1998,
author = {Ringel, Claus},
journal = {Colloquium Mathematicae},
keywords = {finite-dimensional hereditary algebras; tame representation type; categories of modules; algebraically compact modules; Ziegler spectrum},
language = {eng},
number = {1},
pages = {105-115},
title = {The Ziegler spectrum of a tame hereditary algebra},
url = {http://eudml.org/doc/210544},
volume = {76},
year = {1998},
}

TY - JOUR
AU - Ringel, Claus
TI - The Ziegler spectrum of a tame hereditary algebra
JO - Colloquium Mathematicae
PY - 1998
VL - 76
IS - 1
SP - 105
EP - 115
LA - eng
KW - finite-dimensional hereditary algebras; tame representation type; categories of modules; algebraically compact modules; Ziegler spectrum
UR - http://eudml.org/doc/210544
ER -

References

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  2. [CB] W. Crawley-Boevey, Infinite-dimensional modules in the representation theory of finite-dimensional algebras, Trondheim lectures, 1996. 
  3. [DR1] V. Dlab and C. M. Ringel, Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976). 
  4. [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. 
  5. [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. 
  6. [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. Zbl0593.16022
  7. [G] G. Geisler, Zur Modelltheorie von Moduln, Dissertation, Freiburg/Brg., 1994, 276 pp. 
  8. [H] I. Herzog, Elementary duality of modules, Trans. Amer. Math. Soc. 340 (1993), 37-69. Zbl0815.16002
  9. [JL] C. U. Jensen and H. Lenzing, Model Theoretic Algebra, Gordon and Breach, New York, 1989. 
  10. [K] H. Krause, The endocategory of a module, in: CMS Conf. Proc. 18, Amer. Math. Soc., 1996, 419-432. Zbl0852.16003
  11. [P1] M. Prest, Tame categories of modules and decidability, preprint, Univ. of Liverpool, 1985. 
  12. [P2] M. Prest, Model Theory and Modules, London Math. Soc. Lecture Note Ser. 130, Cambridge Univ. Press, 1988. 
  13. [P3] M. Prest, Ziegler spectra of tame hereditary algebras, preprint 1997. 
  14. [R1] C. M. Ringel, Infinite-dimensional representations of finite-dimensional hereditary algebras, in: Sympos. Math. 23, Academic Press, 1979, 321-412. 
  15. [R2] C. M. Ringel, Tame algebras, in: Proceedings ICRA 2, Lecture Notes in Math. 831, Springer, 1980, 137-287. 
  16. [R3] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984. 
  17. [R4] C. M. Ringel, A construction of endofinite modules, in: Adv. Algebra Model Theory, Gordon and Breach, London, to appear. 
  18. [Z] M. Ziegler, Model theory of modules, Ann. Pure Appl. Logic 26 (2) (1984), 149-213. Zbl0593.16019

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