Semi-dualizing Complexes and Their Auslander Categories

  title={Semi-dualizing Complexes and Their Auslander Categories},
  author={Lars Winther Christensen},
Let R be a commutative Noetherian ring. We study R–modules, and complexes of such, with excellent duality properties. While their common properties are strong enough to admit a rich theory, we count among them such, potentially, diverse objects as dualizing complexes for R on one side, and on the other, the ring itself. In several ways, these two examples constitute the extremes, and their well-understood properties serve as guidelines for our study; however, also the employment, in recent… CONTINUE READING
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