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Algebraic K-Theory of Upper Triangular Rings and Its Generalization

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Abstract

In the paper, a “tensor” generalization of the algebraic K-theory of upper triangular rings is constructed. It is proved that the corresponding Km-groups are naturally isomorphic to the direct sum of Km-groups of the diagonal part.

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References

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Funding

This work was supported by the program “Leading Scientific Schools” (under grant NSh-6399.2018.1, agreement no. 075-02-2018-867) and by the Russian Foundation for Basic Research under grant 18- 01-00198.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    F. Yu. Popelenskii

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  1. F. Yu. Popelenskii
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Correspondence to F. Yu. Popelenskii.

Additional information

Russian Text © The Author(s), 2019, published in Matematicheskie Zametki, 2019, Vol. 106, No. 5, pp. 735-743.

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Popelenskii, F.Y. Algebraic K-Theory of Upper Triangular Rings and Its Generalization. Math Notes 106, 794–799 (2019). https://doi.org/10.1134/S0001434619110129

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  • DOI: https://doi.org/10.1134/S0001434619110129

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