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Cohomological Operators on Quotients by Quasi-Complete Intersection Ideals

Andrew Windle, University of Nebraska - Lincoln


Let S be a characteristic zero local ring, I a quasi-complete intersection ideal of S. Using the techniques of acyclic twisting cochains, we give a procedure for computing the derived Hochschild cohomology of the quotient ring R = S/I over the ring S. In the special case that the ideal I is principally generated by an exact zero divisor, we also explicitly build a family of cohomological operators for the ring R. We show that the action of the Hochschild cohomology of R over S coincides exactly with the action of these cohomological operators.

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Recommended Citation

Windle, Andrew, "Cohomological Operators on Quotients by Quasi-Complete Intersection Ideals" (2017). ETD collection for University of Nebraska-Lincoln. AAI10607056.