Trivial extension of artin algebras

  • Yasuo Iwanaga
  • Takayoshi Wakamatsu
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 832)


Disjoint Union Homomorphic Image Artin Ring Primitive Idempotent Artin Algebra 
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  1. 1.
    AUSLANDER, M., PLATZECK, M.I. and REITEN, I.: Periodic modules over weakly symmetric algebras, J. Pure Appl. Alg. 11 (1977) 279–291.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    CHASE, S.U.: A generalization of the ring of triangular matrices, Nagoya Math. J. 18 (1961) 13–25.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    DLAB, V. and RINGEL, C.M.: Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976).Google Scholar
  4. 4.
    FOSSUM, R.M., GRIFFITH, P.A. and REITEN, I.: Trivial extnesions of Abelian categories, Lect. Notes in Math. 456 (1975), Springer-Verlag, Berlin-Heidelberg-New York.CrossRefzbMATHGoogle Scholar
  5. 5.
    GABRIEL, P.: Unzerlegbare Darstellungen I, Manuscripta math. 6 (1972) 71–103.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    GREEN, E.L. and REITEN, I.: On the construction of ring extensions, Glasgow Math. J. 17 (1976) 1–11.MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    MÜLLER, W.: Unzerlegbare Moduln uber artinschen Ringen, Math. Z. 137 (1974) 197–226.MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    TACHIKAWA, H.: Proceedings of ICRA II, Ottawa, 1979.Google Scholar
  9. 9.
    YAMAGATA, K.: Proceedings of ICRA II, Ottawa, 1979.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Yasuo Iwanaga
  • Takayoshi Wakamatsu

There are no affiliations available

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