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Original Articles

The fundamental groups of a triangular algebra

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Pages 187-208 | Received 01 Aug 1994, Published online: 27 Jun 2007

References

  • Assem , I. and Skowronski , A. 1988 . On some classes of simply connected algebras . Proc. London Math. Soc , 56 ( 3 ) : 417 – 450 .
  • Assem , I. and Skowroński , A. 1993 . On tame repetitive algebras . Fund. Math , 142 ( 3 ) : 59 – 84 .
  • Bautista , R. , Larrión , F. and Salmerón , L. 1983 . On simply connected algebras . J. London Math. Soc , 27 ( 2 ) : 212 – 220 .
  • Bongartz , K. 1983 . Algebras and quadratic forms . J. London Math. Soc , 28 ( 2 ) : 461 – 469 .
  • Bongartz , K. and Gabriel , P. 1981 . Covering spaces in representation theory . Invent. Math , 65 ( 3 ) : 331 – 378 .
  • Bretscher , O. and Gabriel , P. 1983 . The standard form of a representation-finite algebra . Bull. Soc. Math France , 111 ( 3 ) : 21 – 40 .
  • Cartan , H. and Eilenberg , S. 1956 . Homological algebra , Princeton University Press .
  • Dowbor , P. and Skowroński , A. 1985 . On Galois coverings of tam.e algebras . Arch. Math , 44 : 522 – 529 .
  • Dowbor , P. and Skowroński , A. 1987 . Galois coverings of representation-infinite al- gebras . Comment. Math. Helv , 62 : 311 – 337 .
  • Dräxler , P. 1991 . Completely separating algebras , 91 – 100 . University of Bielefeld . Preprint
  • Fischbacher , U. and De La Peńa , J.A. Algorithms in representation theory of algebras . Proc. Ottawa . 1984 . pp. 115 – 134 . Springer-Verlag . Lecture Notes in Mathematics 1177
  • Gabriel , P. The universal cover of a representation-finite algebra . Proc. Puebla . 1980 . pp. 68 – 105 . Springer-Verlag . Lecture Notes in Mathematics 903, (1980)
  • Geiss , C. and De La Peńa , J.A. 1993 . An interesting family of algebras . Arch. Math , 60 : 25 – 35 .
  • Green , E.L. 1983 . Graphs with relations, coverings and group-graded algebras . Trans. Amer. Math. Soc , 297 : 297 – 310 .
  • Happel , D. Hochschild cohomology of finite dimensional algebras . SéminaireM.-P. Malliavin . 1987 , Paris. pp. 108 – 126 . Paris : Springer-Verlag . Lecture Notes in Mathematics 1404, 1988
  • Happel , D. and Ringel , C.M. 1983 . Tilted algebras . Trans. Amer. Math. Soc , 274 : 399 – 443 .
  • Happel , D. and Ringel , C.M. 1993 . Directing projective modules . Arch. Math , 60 : 237 – 246 .
  • Martinez-Villa , R. and De La Peńa , J.A. 1983 . The universal cover of a quiver with relations . J. Pure Appl. Algebra , 30 : 277 – 292 .
  • Martinez-Villa , R. and De La Peńa , J.A. 1984 . Multiplicative basis for algebra whose universal cover has oriented cycles . J. Algebra , 87 : 389 – 395 .
  • De La Peńa , J.A. 1986 . On the abelian Galois coverings of an algebra . J. Algebra , 102 ( 1 ) : 129 – 134 .
  • De La Peńa , J.A. 1990 . “ Algebras with hypercritical Tits form. Topics in Algebra ” . In Banach Center Publications , Vol. 26 , 353 – 369 . Warsaw : Polish Scientific Publishes . Part 1, PWN
  • De La Peńa , J.A. and Skowroński , A. 1994 . Forbidden subalgebra of non-polynomial growth tame simply connected algebras , Mexico : Universidad National Autónoma de . Preprint
  • Ringel , C.M. Tame algebras . Proc. ICRA II . 1979 , Ottawa. pp. 137 – 287 . Springer-Verlag . Lecture Notes in Mathematics 831
  • Ringel , C.M. 1984 . Tame algebras and integral quadratic forms , Vol. 1099 , Springer-Verlag . Lecture Notes in Mathematics 1099
  • Skowroriski , A. 1990 . “ Algebras of polynomial growth. Topics in Algebra ” . In Banach Center Publications , Vol. 26 , 535 – 568 . Warsaw : Polish Scientific Publishers . Part 1, PWN
  • Skowroriski , A. Simply connected algebras and Hochschild Cohomology . Proc. ICRA IV . 1992 , Ottawa. Vol. 14 , pp. 431 – 447 . Can. Math. Soc. Proc
  • Skowroński A. Loop-finite algebras with the separation property In preparation
  • Skowroński , A. and Wenderlich , M. 1994 . Artin algebras with directing indecomposable projectives . To appear J. Algebra , 14

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