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Noetherianity and Ext |
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| Authors: | EL Green |
| Institution: | a Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, USA b Department of Mathematics, University of Leicester, Leicester LE1 7RH, UK c Department of Mathematical Sciences, NTNU, N-7491 Trondheim, Norway d Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA |
| 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  . 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. |
| Keywords: | 16E05 16G70 |
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