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arXiv · 1805.12236

Cohomological Operators on Quotients by an Exact Zero Divisor

Andrew Windle
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Abstract

Let S be a commutative ring, x, y $\in$ S a pair of exact zero divisors, and R = S/(x). Let F be a complex of free R-modules. In this paper we explicitly compute cohomological operators of R over S by constructing endomorphisms of F. We consider some properties of these cohomological operators, as well as provide an example in which these cohomological operators act non-trivially.

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Andrew Windle. 2018-05-30. Cohomological Operators on Quotients by an Exact Zero Divisor. https://arxiv.org/abs/1805.12236

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