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Subalgebras of bigraded Koszul algebras

2000/11/29 by Stefan Blum, Blum, Stefan · 2 citations
Chemistry · Mathematics · #13A99 #13D99 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Synthesis and Properties of Aromatic Compounds #math.AC #msc:13A99 #msc:13D99

paper · pdf · doi:10.48550/arxiv.math/0011251

13 pages

openalex publication_date 2000/11/29 · arxiv created 2000/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that diagonal subalgebras and generalized Veronese subrings of a bigraded Koszul algebra are Koszul. We give upper bounds for the regularity of sidediagonal and relative Veronese modules and apply the results to symmetric algebras and Rees rings.

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