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Rigid monomial algebras

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References

  1. Anick, D., Green, E.L.: On the homology of quotients of path algebras. Commun. Algebra15, 309–341 (1987)

    Google Scholar 

  2. Cartan, H., Eilenberg, S.: Homological algebra. Princeton University Press, 1956

  3. Barr, M., Rinehart, G.S.: Cohomology as the derived functor of derivations. Trans. Am. Math. Soc.122, 416–426 (1966)

    Google Scholar 

  4. Benson, D.: Cyclic homology and path algebra resolution. Math. Proc. Camb. Philos. Soc.106, 57–66 (1989)

    Google Scholar 

  5. Cibils, C.: Rigidity of truncated quiver algebras. Adv. Math.79, 18–42 (1990)

    Google Scholar 

  6. Cibils, C.: Une famille d'algèbres rigides. C.R. Acad. Sci. Sér. I Math.309, 1–4 (1989)

    Google Scholar 

  7. Cibils, C.: 2-nilpotent and rigid finite dimensional algebras. J. Lond. Math. Soc.36, 211–218 (1987)

    Google Scholar 

  8. Cibils, C.: On the Hochschild cohomology of finite dimensional algebras. Commun. Algebra16, 645–649 (1988)

    Google Scholar 

  9. Cibils, C.: Hochschild homology of an algebra whose quiver has no oriented cycles. Representation theory I. Ottawa 1985. Lect. Notes Math.1177, 55–59 (1986)

    Google Scholar 

  10. Gabriel, P.: Finite representation type is open. Representations of algebras, Ottawa 1974, Lect. Notes Math.488, 132–155 (1975)

    Google Scholar 

  11. Gerstenhaber, M.: On the deformations of rings and algebras. Ann. Math. Stud.79, 59–103 (1964)

    Google Scholar 

  12. Gerstenhaber, M., Schack, S.D.: Relative Hochschild cohomology, rigid algebras, and the Bockstein. J. Pure Appl. Alg.43, 53–74 (1986)

    Google Scholar 

  13. Gerstenhaber, M., Schack, S.D.: Simplicial cohomology is Hochschild cohomology. J. Pure Appl. Alg.30, 143–156 (1983)

    Google Scholar 

  14. Happel, D.: Hochschild cohomology of finite-dimensional algebras. Séminaire d'algèbre Paul Dubreuil et Marie-Paul Malliavin, 39ème année (Paris 1987–88), Lect Notes Math.1404, 108–126 (1989)

    Google Scholar 

  15. Happel, D., Schaps, M.: Deformations of tilting modules. Preprint, Fak. für Math., Bielefeld, RFA and Dep. of Math., Ramat-Gan, Israel, 1989

  16. Hochschild, G.: On the cohomology groups of an associative algebra. Ann. Math. Stud.46, 58–67 (1946)

    Google Scholar 

  17. Kraft, H.: Geometric methods in representation theory. Representations of algebras, Proceedings, 1980, Lect. Notes Math.944, 181–258 (1982)

    Google Scholar 

  18. Mazzola, G.: The algebraic and geometric classification of associative algebras of dimension five. Manuscr. Math.27, 81–101 (1979)

    Google Scholar 

  19. Schaps, M.: Deformations of finite dimensional algebras and their idempotents. Trans. Am. Math. Soc.307, 843–856 (1988)

    Google Scholar 

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Authors and Affiliations

  1. Institut Fourier, BP 74, F-38402, St. Martin d'Hères Cedex, France

    Claude Cibils

  2. Section de Mathématiques, CP 240, CH-1211, Genève 24, Switzerland

    Claude Cibils

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  1. Claude Cibils
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Supported by the FNSRS (Swiss National Foundation)

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Cibils, C. Rigid monomial algebras. Math. Ann. 289, 95–109 (1991). https://doi.org/10.1007/BF01446561

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