Cohomology of algebras of dihedral type. I.
Generalov, A.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Generalov, A.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Piotr Malicki, Andrzej Skowroński (2014)
Colloquium Mathematicae
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We determine the Hochschild cohomology of all finite-dimensional generalized multicoil algebras over an algebraically closed field, which are the algebras for which the Auslander-Reiten quiver admits a separating family of almost cyclic coherent components. In particular, the analytically rigid generalized multicoil algebras are described.
Jens P. Nielsen (1980)
Mathematica Scandinavica
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Rolf Farnsteiner (1991)
Mathematische Zeitschrift
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Helmut Strade, Jörg Feldvoss (1992)
Manuscripta mathematica
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Deena Al-Kadi (2010)
Colloquium Mathematicae
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We study the second Hochschild cohomology group of the preprojective algebra of type D₄ over an algebraically closed field K of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
König, Steffen, Xi, Changchang (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Ibrahim Assem, Juan Carlos Bustamante, Patrick Le Meur (2011)
Colloquium Mathematicae
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Let A be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of A with coefficients in the bimodule A vanishes if and only if A is representation-finite and simply connected (in the sense of Bongartz and Gabriel), if and only if the Euler characteristic of Q equals the number of indecomposable non-uniserial projective-injective A-modules (up to isomorphism). Moreover, if this is the case, then all the higher Hochschild cohomology...
Jaume Aguadé (1981)
Mathematische Zeitschrift
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Dieter Happel (1990)
Banach Center Publications
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Kosovskaya, N.Yu. (2005)
Zapiski Nauchnykh Seminarov POMI
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Holm, Thorsten (2000)
Beiträge zur Algebra und Geometrie
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Rolf Farnsteiner (1988)
Mathematische Zeitschrift
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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