ArticleOriginal scientific text

Title

Extensionless modules over tame hereditary algebras

Authors 1

Affiliations

  1. Department of Mathematics, Wayne State University, Detroit, Michigan 48202 U.S.A.

Bibliography

  1. N. Aronszajn and U. Fixman, Algebraic spectral problems, Studia Math. 30 (1968), 273-338.
  2. M. Auslander, I. Reiten and S. Smalø, Representation Theory of Artin Algebras, Cambridge Univ. Press, 1995.
  3. K. Bongartz, Tilted algebras, in: Lecture Notes in Math. 903, Springer, Berlin, 1982, 26-38.
  4. F. V. Colhoe, A note on preinjective partial tilting modules, in: CMS Conf. Proc. 14, Amer. Math. Soc., 1993, 109-115.
  5. P. Eklof and M. Huber, On the rank of Ext, Math. Z. 174 (1980), 159-185.
  6. U. Fixman, On algebraic equivalence between pairs of linear transformations, Trans. Amer. Math. Soc. 113 (1964), 424-453.
  7. L. Fuchs, Infinite Abelian Groups, Vols. I, II, Academic Press, New York, 1970, 1973.
  8. P. Gabriel, Auslander-Reiten sequences and representation-finite algebras, in: Lecture Notes in Math. 831, Springer, Berlin, 1980, 1-71.
  9. W. Geigle and H. Lenzing, Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343.
  10. I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327-340.
  11. H. Lenzing and H. Meltzer, Sheaves on a weighted projective line of genus one, in: CMS Conf. Proc. 14, Amer. Math. Soc., 1993, 313-337.
  12. H. Lenzing and F. Okoh, The separability of direct products of modules over a canonical algebra, ibid., 339-352.
  13. M. Nagata, Local Rings, Interscience, New York, 1962.
  14. F. Okoh, Indecomposable rank two modules over some artinian ring, J. London Math. Soc. 22 (1980), 411-422.
  15. F. Okoh, Extensionless modules of finite rank over countable Dedekind domains, Arch. Math. (Basel) 59 (1992), 232-238.
  16. F. Okoh, The rank of a completion of a Dedekind domain, Comm. Algebra 21 (1993), 4561-4574.
  17. F. Okoh, Bouquets of Baer modules, J. Pure Appl. Algebra 93 (1994), 297-310.
  18. F. Okoh, Infinite-dimensional partial tilting modules, in preparation.
  19. C. M. Ringel, Infinite-dimensional representations of finite-dimensional hereditary algebras, Sympos. Mat. Inst. Alta Mat. 23 (1979), 321-412.
  20. D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, Gordon and Breach, 1992.
  21. O. Teichmüller, Diskret bewertete perfekte Körper mit unvollkommenen Restklassenkörper, J. Reine Angew. Math. 176 (1936), 141-152.
  22. R. B. Warfield, Jr., Extensions of torsion-free Abelian groups of finite rank, Arch. Math. (Basel) 23 (1972), 145-150.
Pages:
285-299
Main language of publication
English
Received
1996-10-22
Published
1997
Exact and natural sciences