Resumen de Noetherianity and Ext

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

• Let R=R0R1R2 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=R1R2 and . 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.