Notes on nonpure piecewise-Koszul algebras

Jia-Feng Lü ()
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Jia-Feng Lü: Zhejiang Normal University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 3, 349-357

Abstract: Abstract Let A = ⊕i≥0 A i be a Noetherian standard graded algebra with finite global dimension, gr o(A) and $$\mathcal{N}\mathcal{P}\mathcal{K}(A)$$ the categories of finitely 0-generated graded A-modules and nonpure piecewise-Koszul modules. It is proved that $$gr_0 (A) = \mathcal{N}\mathcal{P}\mathcal{K}(A)$$ , which implies that all the Noetherian standard graded Artin-Schlter regular algebras are nonpure piecewise-Koszul. Moreover, the H-Galois graded extension of nonpure piecewise-Koszul algebras is discussed, where H is a finite dimensional semisimple and cosemisimple Hopf algebra.

Keywords: Koszul algebras and modules; (nonpure) piecewise-Koszul algebras and modules (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0114-y

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