2018/07/06 by José Oswaldo Lezama Serrano, Serrano, José Oswaldo Lezama, Jaime Andrés Gómez Ortíz +1
Mathematics · #16S36 #16S38 #16W50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Primary: 16W70. Secondary: 16S37 #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1807.02491
openalex publication_date 2018/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce the class of finitely semi-graded algebras which extends the connected graded algebras finitely generated in degree one. The Koszul behavior of finitely semi-graded algebras is investigated 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. Finitely semi-graded algebras include many important examples of non ℕ-graded algebras finitely generated in degree one coming from mathematical physics, and for these concrete examples the Koszulity will be established, as well as, the explicit computation of its Hilbert and Poincaré series.