Author:
DOTSENKO VLADIMIR,VALLETTE BRUNO
Abstract
AbstractWe present a unifying framework for the key concepts and results of higher Koszul duality theory for N-homogeneous algebras: the Koszul complex, the candidate for the space of syzygies and the higher operations on the Yoneda algebra. We give a universal description of the Koszul dual algebra under a new algebraic structure. For that we introduce a general notion: Gröbner bases for algebras over non-symmetric operads.
Publisher
Cambridge University Press (CUP)
Reference27 articles.
1. Tree polynomials and non-associative Gröbner bases
2. Higher Koszul complexes
3. Homogeneous algebras
4. Homology of Noetherian rings and local rings;Tate;Illinois J. Math.,1957
5. A. Prouté , A ∞-structures, modèle minimal de Baues-Lemaire et homologie des fibrations, PhD Thesis (Université Denis Diderot, Paris 7, 1986). (Reprinted in Theory Appl. Categ. 21 (2011), 199.)
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