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Finitely semi-graded algebras and Koszulity
The aim of this work is to introduce the class of finitely semi-graded algebras which is a generalization of finitely graded algebras generated in degree one, and include important examples whithin the skew P BW extensions. ...
Homological Ideals of Finite Dimensional Algebras
N-Koszul algebras, Calabi-Yau algebras and skew PBW extensions
Abstract. In the schematic approach to non-commutative algebraic geometry arises some important classes of non-commutative algebras like Koszul algebras, Artin-Schelter regular algebras, Calabi-Yau algebras, and closely ...