Residue Complexes over Noncommutative Rings Export

@article{citeulike:5961462, abstract = {Residue complexes were introduced by Grothendieck in algebraic geometry. These are canonical complexes of injective modules that enjoy remarkable functorial properties (traces). In this paper we study residue complexes over noncommutative rings. These objects are even more complicated than in the commutative case, since they are complexes of bimodules. We develop methods to prove uniqueness, existence and functoriality of residue complexes. For a noetherian affine PI algebra over a field (admitting a noetherian connected filtration) we prove existence of the residue complex and describe its structure in detail.}, archivePrefix = {arXiv}, author = {Yekutieli, Amnon and Zhang, James J.}, citeulike-article-id = {5961462}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0103075}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0103075}, day = {3}, eprint = {math/0103075}, keywords = {complexes, noncommutative, over, residue, rings}, month = {Jun}, posted-at = {2009-10-18 18:39:39}, priority = {2}, title = {Residue Complexes over Noncommutative Rings}, url = {http://arxiv.org/abs/math/0103075}, year = {2002} }

TY - JOUR ID - citeulike:5961462 L3 - citeulike-article-id:5961462 N2 - Residue complexes were introduced by Grothendieck in algebraic geometry. These are canonical complexes of injective modules that enjoy remarkable functorial properties (traces). In this paper we study residue complexes over noncommutative rings. These objects are even more complicated than in the commutative case, since they are complexes of bimodules. We develop methods to prove uniqueness, existence and functoriality of residue complexes. For a noetherian affine PI algebra over a field (admitting a noetherian connected filtration) we prove existence of the residue complex and describe its structure in detail. TI - Residue Complexes over Noncommutative Rings KW - complexes KW - noncommutative KW - over KW - residue KW - rings AU - Yekutieli, Amnon AU - Zhang, James PY - 2002/Jun/03/ UR - http://arxiv.org/abs/math/0103075 ER -