1. Algebraic K-theory of Gorenstein projective modules.
- Author
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Li, Ruixin, Liu, Miantao, and Gao, Nan
- Subjects
- *
GORENSTEIN rings , *PROJECTIVE modules (Algebra) , *K-theory , *FUNCTION spaces , *MATHEMATICAL bounds , *MATHEMATICAL singularities - Abstract
We introduce the Gorenstein algebraic K-theory space and the Gorenstein algebraic K-group of a ring, and show the relation with the classical algebraic K-theory space, and also show the 'resolution theorem' in this context due to Quillen. We characterize the Gorenstein algebraic K-groups by two different algebraic K-groups and by the idempotent completeness of the Gorenstein singularity category of the ring. We compute the Gorenstein algebraic K-groups along a recollement of the bounded Gorenstein derived categories of CM-nite Gorenstein algebras. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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