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arxiv: 1409.4157 · v1 · pith:WJWH2OSSnew · submitted 2014-09-15 · 🧮 math.KT · math.AG· math.AT

On the K-theory of truncated polynomial rings in non-commuting variables

classification 🧮 math.KT math.AGmath.AT
keywords k-theoryalgebraicanswercharacteristiccomputedevelopedexpressfield
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We compute the algebraic K-theory of the non-commutative ring k<x_1,...,x_n>/(m^a) when k is a perfect field of positive characteristic and m=(x_1,...,x_n). We express the answer in terms of the truncation poset Witt vectors developed in [1].

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