Noetherianity and Ext

E. L. Green, N. Snashall, Solberg, D. Zacharia

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let R = R0 ⊕ R1 ⊕ R2 ⊕ ⋯ be a graded algebra over a field K such that R0 is a finite product of copies of K and each Ri is finite dimensional over K. Set J = R1 ⊕ R2 ⊕ ⋯ and S = ⊕n ≥ 0 ExtRn (R / J, R / J). We study the properties of the categories of graded R-modules and S-modules that relate to the noetherianity of R. We pay particular attention to the case when R is a Koszul algebra and S is the Koszul dual to R.

Original languageEnglish (US)
Pages (from-to)1612-1625
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume212
Issue number7
DOIs
StatePublished - Jul 2008

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Noetherianity and Ext'. Together they form a unique fingerprint.

Cite this