Extensionless modules over tame hereditary algebras
Okoh, Frank
Colloquium Mathematicae, Tome 72 (1997), p. 285-299 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:210491
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     author = {Frank Okoh},
     title = {Extensionless modules over tame hereditary algebras},
     journal = {Colloquium Mathematicae},
     volume = {72},
     year = {1997},
     pages = {285-299},
     zbl = {0881.16001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv73i2p285bwm}
}
Okoh, Frank. Extensionless modules over tame hereditary algebras. Colloquium Mathematicae, Tome 72 (1997) pp. 285-299. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv73i2p285bwm/

[000] [1] N. Aronszajn and U. Fixman, Algebraic spectral problems, Studia Math. 30 (1968), 273-338.

[001] [2] M. Auslander, I. Reiten and S. Smalø, Representation Theory of Artin Algebras, Cambridge Univ. Press, 1995.

[002] [3] K. Bongartz, Tilted algebras, in: Lecture Notes in Math. 903, Springer, Berlin, 1982, 26-38.

[003] [4] F. V. Colhoe, A note on preinjective partial tilting modules, in: CMS Conf. Proc. 14, Amer. Math. Soc., 1993, 109-115. | Zbl 0809.16014

[004] [5] P. Eklof and M. Huber, On the rank of Ext, Math. Z. 174 (1980), 159-185. | Zbl 0424.20051

[005] [6] U. Fixman, On algebraic equivalence between pairs of linear transformations, Trans. Amer. Math. Soc. 113 (1964), 424-453. | Zbl 0192.13105

[006] [7] L. Fuchs, Infinite Abelian Groups, Vols. I, II, Academic Press, New York, 1970, 1973.

[007] [8] P. Gabriel, Auslander-Reiten sequences and representation-finite algebras, in: Lecture Notes in Math. 831, Springer, Berlin, 1980, 1-71.

[008] [9] W. Geigle and H. Lenzing, Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343.

[009] [10] I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327-340. | Zbl 0046.25701

[010] [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. | Zbl 0809.16012

[011] [12] H. Lenzing and F. Okoh, The separability of direct products of modules over a canonical algebra, ibid., 339-352. | Zbl 0827.16008

[012] [13] M. Nagata, Local Rings, Interscience, New York, 1962.

[013] [14] F. Okoh, Indecomposable rank two modules over some artinian ring, J. London Math. Soc. 22 (1980), 411-422. | Zbl 0418.16017

[014] [15] F. Okoh, Extensionless modules of finite rank over countable Dedekind domains, Arch. Math. (Basel) 59 (1992), 232-238. | Zbl 0756.13005

[015] [16] F. Okoh, The rank of a completion of a Dedekind domain, Comm. Algebra 21 (1993), 4561-4574. | Zbl 0792.13007

[016] [17] F. Okoh, Bouquets of Baer modules, J. Pure Appl. Algebra 93 (1994), 297-310. | Zbl 0817.16006

[017] [18] F. Okoh, Infinite-dimensional partial tilting modules, in preparation.

[018] [19] C. M. Ringel, Infinite-dimensional representations of finite-dimensional hereditary algebras, Sympos. Mat. Inst. Alta Mat. 23 (1979), 321-412.

[019] [20] D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, Gordon and Breach, 1992. | Zbl 0818.16009

[020] [21] O. Teichmüller, Diskret bewertete perfekte Körper mit unvollkommenen Restklassenkörper, J. Reine Angew. Math. 176 (1936), 141-152.

[021] [22] R. B. Warfield, Jr., Extensions of torsion-free Abelian groups of finite rank, Arch. Math. (Basel) 23 (1972), 145-150. | Zbl 0244.20064