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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.
Piotr Malicki, and Andrzej Skowroński. "Hochschild cohomology of generalized multicoil algebras." Colloquium Mathematicae 136.2 (2014): 231-254. <http://eudml.org/doc/284295>.
@article{PiotrMalicki2014, abstract = {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.}, author = {Piotr Malicki, Andrzej Skowroński}, journal = {Colloquium Mathematicae}, keywords = {Hochschild cohomology; Auslander-Reiten quivers; generalized multicoil algebras}, language = {eng}, number = {2}, pages = {231-254}, title = {Hochschild cohomology of generalized multicoil algebras}, url = {http://eudml.org/doc/284295}, volume = {136}, year = {2014}, }
TY - JOUR AU - Piotr Malicki AU - Andrzej Skowroński TI - Hochschild cohomology of generalized multicoil algebras JO - Colloquium Mathematicae PY - 2014 VL - 136 IS - 2 SP - 231 EP - 254 AB - 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. LA - eng KW - Hochschild cohomology; Auslander-Reiten quivers; generalized multicoil algebras UR - http://eudml.org/doc/284295 ER -