References
Anick, D., Green, E.L.: On the homology of quotients of path algebras. Commun. Algebra15, 309–341 (1987)
Cartan, H., Eilenberg, S.: Homological algebra. Princeton University Press, 1956
Barr, M., Rinehart, G.S.: Cohomology as the derived functor of derivations. Trans. Am. Math. Soc.122, 416–426 (1966)
Benson, D.: Cyclic homology and path algebra resolution. Math. Proc. Camb. Philos. Soc.106, 57–66 (1989)
Cibils, C.: Rigidity of truncated quiver algebras. Adv. Math.79, 18–42 (1990)
Cibils, C.: Une famille d'algèbres rigides. C.R. Acad. Sci. Sér. I Math.309, 1–4 (1989)
Cibils, C.: 2-nilpotent and rigid finite dimensional algebras. J. Lond. Math. Soc.36, 211–218 (1987)
Cibils, C.: On the Hochschild cohomology of finite dimensional algebras. Commun. Algebra16, 645–649 (1988)
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)
Gabriel, P.: Finite representation type is open. Representations of algebras, Ottawa 1974, Lect. Notes Math.488, 132–155 (1975)
Gerstenhaber, M.: On the deformations of rings and algebras. Ann. Math. Stud.79, 59–103 (1964)
Gerstenhaber, M., Schack, S.D.: Relative Hochschild cohomology, rigid algebras, and the Bockstein. J. Pure Appl. Alg.43, 53–74 (1986)
Gerstenhaber, M., Schack, S.D.: Simplicial cohomology is Hochschild cohomology. J. Pure Appl. Alg.30, 143–156 (1983)
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)
Happel, D., Schaps, M.: Deformations of tilting modules. Preprint, Fak. für Math., Bielefeld, RFA and Dep. of Math., Ramat-Gan, Israel, 1989
Hochschild, G.: On the cohomology groups of an associative algebra. Ann. Math. Stud.46, 58–67 (1946)
Kraft, H.: Geometric methods in representation theory. Representations of algebras, Proceedings, 1980, Lect. Notes Math.944, 181–258 (1982)
Mazzola, G.: The algebraic and geometric classification of associative algebras of dimension five. Manuscr. Math.27, 81–101 (1979)
Schaps, M.: Deformations of finite dimensional algebras and their idempotents. Trans. Am. Math. Soc.307, 843–856 (1988)
Author information
Authors and Affiliations
Additional information
Supported by the FNSRS (Swiss National Foundation)
Rights and permissions
About this article
Cite this article
Cibils, C. Rigid monomial algebras. Math. Ann. 289, 95–109 (1991). https://doi.org/10.1007/BF01446561
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01446561