Skip to main content
Log in

A finite dimensional algebra with cohomology ring not-finitely generated

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. D. J.Benson, Representations and Cohomology I: Basic Representation Theory of Finite Groups and Associative Algebras. Cambridge 1991.

  2. D. J. Benson andJ. F. Carlson, Diagrammatic Methods for Modular Representations and Cohomology. Comm. Algebra15, 53–121 (1987).

    Google Scholar 

  3. M. C. R. Butler andC. M. Ringel, Auslander-Reiten Sequences with Few Middle Terms and Applications to String Algebras. Comm. Algebra15, 145–179 (1987).

    Google Scholar 

  4. J. F.Carlson, Module Varieties and Rings of Finite Groups. Vorlesungen aus dem Fachbereich Mathematik der Universität Essen, Heft 13, 1985.

  5. H.Cartan and S.Eilenberg, Homological Algebra. Princeton 1956.

  6. C.Cibils, F.Larrión y L.Salmerón, Métodos Diagramáticos en Teoría de Representaciones. Monografías del Instituto de Matemáticas No. 11, Universidad National Autónoma de México 1981.

  7. K.Erdmann, Blocks of Tame Representation Type and Related Algebras. LNM1428, Berlin-Heidelberg-New York 1990.

  8. D. J.Hilton and U.Stammbach, A Course in Homological Algebra. Berlin-Heidelberg-New York 1971.

  9. S.MacLane, Homology. Berlin-Heidelberg-New York 1963.

  10. F. H.Membrillo-Hernández, The Cohomology Ring of Special Biserial Symmetric Algebras. Dissertation, University of Oxford 1991.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The second author was supported by DGAPA-UNAM.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Green, E.L., Membrillo-Hernández, F.H. A finite dimensional algebra with cohomology ring not-finitely generated. Arch. Math 61, 20–26 (1993). https://doi.org/10.1007/BF01258051

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01258051

Keywords

Navigation