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Subalgebras of Bigraded Koszul Algebras

✍ Scribed by Stefan Blum

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 130 KB
Volume: 242
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8804

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✦ Synopsis

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

Recall that a positively graded K-algebra A is called Koszul if the residue class field K, considered as a trivial A-module, has linear A-free resolution. During the past 30 years Koszul algebras have been studied in various w x contexts. A good survey is given by Froberg in 9 .

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