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An introduction to noncommutative algebraic geometry, Proceedings of the 40th Symposium on Ring Theory and Representation Theory, Symp. Ring Theory Represent (2008)

by Izuru Mori
Venue:MR 2427915 (Cited on
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Radical cube zero weakly symmetric algebras and support varieties

by Karin Erdmann, Øyvind Solberg , 2010
"... One of our main results is a classification all the weakly symmetric radical cube zero finite dimensional algebras over an algebraically closed field having a theory of support via the Hochschild cohomology ring satisfying Dade’s Lemma. Along the way we give a characterization of when a finite dim ..."
Abstract - Cited by 6 (1 self) - Add to MetaCart
One of our main results is a classification all the weakly symmetric radical cube zero finite dimensional algebras over an algebraically closed field having a theory of support via the Hochschild cohomology ring satisfying Dade’s Lemma. Along the way we give a characterization of when a finite dimensional Koszul algebra has such a theory of support in terms of the graded centre of the Koszul dual.
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..., (iii) gldimR = d, (iv) the Gelfand-Kirillov dimension of R is finite, (v) for all simple graded R-modules S we have ExtiR(S,R) ≃ { (0), i 6= d, S′, i = d and some simple graded Rop-module S′. As in =-=[20]-=- it follows that classifying all selfinjective Koszul algebras of finite complexity d and Loewy length m + 1 (up to isomorphism) is the same as classifying Artin-Schelter regular Koszul algebras with ...

NON-COMMUTATIVE CREPANT RESOLUTIONS: SCENES FROM CATEGORICAL GEOMETRY

by Graham J. Leuschke , 2011
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