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Keywords = Yoneda algebra

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22 pages, 393 KiB  
Article
Koszulity and Point Modules of Finitely Semi-Graded Rings and Algebras
by Oswaldo Lezama and Jaime Gomez
Symmetry 2019, 11(7), 881; https://doi.org/10.3390/sym11070881 - 4 Jul 2019
Cited by 13 | Viewed by 2555
Abstract
In this paper, we investigate the Koszul behavior of finitely semi-graded algebras by the distributivity of some associated lattice of ideals. The Hilbert series, the Poincaré series, and the Yoneda algebra are defined for this class of algebras. Moreover, the point modules and [...] Read more.
In this paper, we investigate the Koszul behavior of finitely semi-graded algebras by the distributivity of some associated lattice of ideals. The Hilbert series, the Poincaré series, and the Yoneda algebra are defined for this class of algebras. Moreover, the point modules and the point functor are introduced for finitely semi-graded rings. Finitely semi-graded algebras and rings include many important examples of non- N -graded algebras coming from mathematical physics that play a very important role in mirror symmetry problems, and for these concrete examples, the Koszulity will be established, as well as the explicit computation of its Hilbert and Poincaré series. Full article
(This article belongs to the Special Issue Mirror Symmetry and Algebraic Geometry)
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