Extensionless modules over tame hereditary algebras

 Access to full text

 Full (PDF)

1. [1] N. Aronszajn and U. Fixman, Algebraic spectral problems, Studia Math. 30 (1968), 273-338. 
2. [2] M. Auslander, I. Reiten and S. Smalø, Representation Theory of Artin Algebras, Cambridge Univ. Press, 1995. 
3. [3] K. Bongartz, Tilted algebras, in: Lecture Notes in Math. 903, Springer, Berlin, 1982, 26-38. 
4. [4] F. V. Colhoe, A note on preinjective partial tilting modules, in: CMS Conf. Proc. 14, Amer. Math. Soc., 1993, 109-115. Zbl0809.16014
5. [5] P. Eklof and M. Huber, On the rank of Ext, Math. Z. 174 (1980), 159-185. Zbl0424.20051
6. [6] U. Fixman, On algebraic equivalence between pairs of linear transformations, Trans. Amer. Math. Soc. 113 (1964), 424-453. Zbl0192.13105
7. [7] L. Fuchs, Infinite Abelian Groups, Vols. I, II, Academic Press, New York, 1970, 1973. 
8. [8] P. Gabriel, Auslander-Reiten sequences and representation-finite algebras, in: Lecture Notes in Math. 831, Springer, Berlin, 1980, 1-71. 
9. [9] W. Geigle and H. Lenzing, Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343. 
10. [10] I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327-340. Zbl0046.25701
11. [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. Zbl0809.16012
12. [12] H. Lenzing and F. Okoh, The separability of direct products of modules over a canonical algebra, ibid., 339-352. Zbl0827.16008
13. [13] M. Nagata, Local Rings, Interscience, New York, 1962. 
14. [14] F. Okoh, Indecomposable rank two modules over some artinian ring, J. London Math. Soc. 22 (1980), 411-422. Zbl0418.16017
15. [15] F. Okoh, Extensionless modules of finite rank over countable Dedekind domains, Arch. Math. (Basel) 59 (1992), 232-238. Zbl0756.13005
16. [16] F. Okoh, The rank of a completion of a Dedekind domain, Comm. Algebra 21 (1993), 4561-4574. Zbl0792.13007
17. [17] F. Okoh, Bouquets of Baer modules, J. Pure Appl. Algebra 93 (1994), 297-310. Zbl0817.16006
18. [18] F. Okoh, Infinite-dimensional partial tilting modules, in preparation. 
19. [19] C. M. Ringel, Infinite-dimensional representations of finite-dimensional hereditary algebras, Sympos. Mat. Inst. Alta Mat. 23 (1979), 321-412. 
20. [20] D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, Gordon and Breach, 1992. Zbl0818.16009
21. [21] O. Teichmüller, Diskret bewertete perfekte Körper mit unvollkommenen Restklassenkörper, J. Reine Angew. Math. 176 (1936), 141-152. 
22. [22] R. B. Warfield, Jr., Extensions of torsion-free Abelian groups of finite rank, Arch. Math. (Basel) 23 (1972), 145-150. Zbl0244.20064