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Trivial extension of artin algebras

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Representation Theory II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 832))

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References

  1. AUSLANDER, M., PLATZECK, M.I. and REITEN, I.: Periodic modules over weakly symmetric algebras, J. Pure Appl. Alg. 11 (1977) 279–291.

    Article  MathSciNet  MATH  Google Scholar 

  2. CHASE, S.U.: A generalization of the ring of triangular matrices, Nagoya Math. J. 18 (1961) 13–25.

    Article  MathSciNet  MATH  Google Scholar 

  3. DLAB, V. and RINGEL, C.M.: Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976).

    Google Scholar 

  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.

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  5. GABRIEL, P.: Unzerlegbare Darstellungen I, Manuscripta math. 6 (1972) 71–103.

    Article  MathSciNet  MATH  Google Scholar 

  6. GREEN, E.L. and REITEN, I.: On the construction of ring extensions, Glasgow Math. J. 17 (1976) 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  7. MÜLLER, W.: Unzerlegbare Moduln uber artinschen Ringen, Math. Z. 137 (1974) 197–226.

    Article  MathSciNet  MATH  Google Scholar 

  8. TACHIKAWA, H.: Proceedings of ICRA II, Ottawa, 1979.

    Google Scholar 

  9. YAMAGATA, K.: Proceedings of ICRA II, Ottawa, 1979.

    Google Scholar 

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Authors

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Vlastimil Dlab Peter Gabriel

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© 1980 Springer-Verlag

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Iwanaga, Y., Wakamatsu, T. (1980). Trivial extension of artin algebras. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088470

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  • DOI: https://doi.org/10.1007/BFb0088470

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

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