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ArticleOriginal scientific text

Title

The pure-projective ideal of a module category

Authors 1

Affiliations

  1. Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Keywords

ENG
covering, group action, injective module, summable family

Bibliography

  1. K. Bongartz and P. Gabriel, Covering spaces in representation theory, Invent. Math. 65 (1982), 331-378.
  2. P. Dowbor, On the category of modules of second kind for Galois coverings, Fund. Math. 149 (1996), 31-54.
  3. P. Dowbor, Galois covering reduction to stabilizers, Bull. Polish Acad. Sci. Math. (1996), to appear.
  4. P. Dowbor and S. Kasjan, Non-simply connected posets of polynomial growth, preprint 1996.
  5. P. Dowbor and A. Skowroński, On Galois coverings of tame algebras, Arch. Math. (Basel) 44 (1985), 522-529.
  6. P. Dowbor and A. Skowroński, Galois coverings of representation-infinite algebras, Comment. Math. Helv. 62 (1987), 311-337.
  7. P. Dowbor, H. Lenzing and A. Skowroński, Galois coverings of algebras by locally support-finite categories, Proc. ICRA IV, Ottawa 1984, Lecture Notes in Math. 1177, Springer, 1986, 91-93.
  8. Yu. A. Drozd, S. A. Ovsienko and B. Yu. Furcin, Categorical construction in representation theory, in: Algebraic Structures and their Applications, University of Kiev, Kiev UMK VO, 1988, 43-73 (in Russian).
  9. P. Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323-448.
  10. P. Gabriel, The universal cover of a representation-finite algebra, in: Proc. ICRA III, Puebla 1980, Lecture Notes in Math. 903, Springer, 1982, 68-105.
  11. C. Geiss and J. A. de la Pe na, An interesting family of algebras, Arch. Math. (Basel) 60 (1993), 25-35.
  12. E. L. Green, Group-graded algebras and the zero relation problem, in: Proc. ICRA III, Puebla 1980, Lecture Notes in Math. 903, Springer, 1981, 106-115.
  13. Z. Pogorzały, Regularly biserial algebras, in: Topics in Algebra, Part 1: Rings and Representations of Algebras, Banach Center Publ. 26, PWN, Warszawa, 1990, 371-384.
  14. Ch. Riedtmann, Algebren, Darstellungsköcher, Überlagerungen und zurück, Comment. Math. Helv. 55 (1980), 199-224.
  15. D. Simson, On pure semisimple Grothendieck categories. I, Fund. Math. 100 (1978), 211-222.
  16. D. Simson, On pure semisimple Grothendieck categories. II, ibid. 110 (1980), 107-116.
  17. D. Simson, Socle reduction and socle projective modules, J. Algebra 108 (1986), 18-68.
  18. D. Simson, Representations of bounded stratified posets, coverings and socle projective modules, in: Topics in Algebra, Part 1: Rings and Representations of Algebras, Banach Center Publ. 26, PWN, Warszawa, 1990, 499-533.
  19. D. Simson, Right peak algebras of two-separate stratified posets, their Galois coverings and socle projective modules, Comm. Algebra 20 (1992), 3541-3591.
  20. A. Skowroński, Selfinjective algebras of polynomial growth, Math. Ann. 285 (1989), 177-193.
  21. A. Skowroński, Criteria for polynomial growth of algebras, Bull. Polish Acad. Sci. Math. 42 (1994), 173-183.
  22. A. Skowroński, Tame algebras with simply connected Galois coverings, preprint, 1995.
Colloquium Mathematicum
1996/71/2
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Pages:
203-215
Main language of publication
English
Received
1995-12-06
Accepted
1996-02-13
Published
1996
Exact and natural sciences