This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Auslander, M. and Reiten, I.: Representation theory of artin algebras III; almost split sequences. Comm. in Algebra 3, 239–294 (1975).
Brenner, S. and Butler, M. C. R.: The equivalence of certain functors occuring in the representation theory of artin algebras and species, J. London Math. Soc. (2) 14, 183–187 (1976).
Dlab, V. and Ringel, C. M.: On algebras of finite representation type, J. Algebra 33, 306–394 (1975).
Dlab, V. and Ringel, C. M.: Representations of graphs and algebras, Memoirs Amer. Math. Soc. 173, Providence (1976).
Dlab, V. and Ringel, C. M.: The representations of tame hereditary algebras, Lecture notes in pure and applied math. 37 (Proc. Philadelphia Conf.), 329–353 (1976).
Fossum, R. M., Griffith, P. A. and Reiten, I: Trivial extensions of abelian categories, Lecture notes in math. 456, Berlin-Heidelberg-New York: Springer (1975).
Gabriel, P.: Indecomposable representations II, Symposia Mathematica, Vol. XI, Academic Press, New york/San Francisco/London, 81–104 (1973).
Green, E. L. and Reiten, I: On the construction of ring extensions, Glasgow Math. J. 17, 1–11 (1976).
Müller, W.: Unzerlegbare Moduln über Artinschen Ringen, Math. Z. 137, 197–226 (1974).
Platzeck, M. T. and Auslander, M.: Representation theory of hereditary artin algebras, Lecture notes in pure and applied math. 37 (Proc. Phildelphia conf.), 389–353 (1976).
Ringel, C. M.: Representations of K-species and bimodules, J. Algebra 41, 269–302(1976).
Ringel, C. M.: Finite dimensional hereditary algebras of wild representation type (to appear).
Tachikawa, H.: Trivial extensions of finite representation type, Proc. Symp. on Representations of groups and algebras, University of Tsukuba, Ibaraki, 69–80 (1978) (In Japanese).
Wakamatsu, T.: Trivial extensions of Artin algebras (to appear)
Yamagata, K: Extensions over hereditary artinian rings with self-dualities 1 (to appear).
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Tachikawa, H. (1980). Representations of trivial extensions of hereditary algebras. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088483
Download citation
DOI: https://doi.org/10.1007/BFb0088483
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10264-9
Online ISBN: 978-3-540-38387-1
eBook Packages: Springer Book Archive