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2009年01月12日
【期刊论文】Dualizing Complexes over Noncommutative Local Rings
吴泉水， Q.-S. Wu， J.J. Zhang
Journal of Algebra 239, 513-548 (2001)，-0001，（）：
-1年11月30日
We prove an existence theorem for dualizing complexes over noncommutative noetherian complete semilocal algebras, which generalizes Van den Bergh's existence theorem in the graded case. Using the dualizing complex, noncommutative versions of Bass theorem and the no-holes theorem are proved. We also prove that noetherian complete semilocal algebras satisfying polynomial identities are catenary.
semilocal algebra， PI algebra， local cohomology， dualizing complex， Bass theorem， no-holes theorem
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