Notes on piecewise-Koszul algebras |
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| Authors: | Jia Feng Lü Xiao Lan Yu |
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| Institution: | [1]Institute of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China |
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| Abstract: | The relationships between piecewise-Koszul algebras and other “Koszul-type” algebras are discussed. The Yoneda-Ext algebra
and the dual algebra of a piecewise-Koszul algebra are studied, and a sufficient condition for the dual algebra A
! to be piecewise-Koszul is given. Finally, by studying the trivial extension algebras of the path algebras of Dynkin quivers
in bipartite orientation, we give explicit constructions for piecewise-Koszul algebras with arbitrary “period” and piecewise-Koszul
algebras with arbitrary “jump-degree”. |
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| Keywords: | Piecewise-Koszul algebras almost Koszul algebras /C：-algebras Dynkin quivers |
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