Koszulity and Point Modules of Finitely Semi-Graded Rings and Algebras

Autor:	Oswaldo Lezama, Jaime Gomez
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	graded algebras distributive lattices Koszul algebras Hilbert and Poincaré series Yoneda algebra point modules point functor Zariski topology skew PBW extensions Mathematics QA1-939
Zdroj:	Symmetry, Vol 11, Iss 7, p 881 (2019)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym11070881
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/93b6de8f61734ecd916e973674e36be6 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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