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Algebraic $K$-theory of triangular rings and its generalization
F. Yu. Popelenskii Lomonosov Moscow State University
Abstract:
In the paper, a “tensor” generalization of the algebraic
$K$-theory of upper triangular rings is constructed.
It is proved that the
corresponding
$K_m$-groups are naturally isomorphic to the direct sum of
$K_m$-groups
of the diagonal part.
Keywords:
Quillen's
$K$-theory, upper triangular ring.
Received: 22.08.2018
Citation:
F. Yu. Popelenskii, “Algebraic $K$-theory of triangular rings and its generalization”, Mat. Zametki, 106:5 (2019), 736–743; Math. Notes, 106:5 (2019), 794–800
Linking options:
https://www.mathnet.ru/eng/mzm12157https://doi.org/10.4213/mzm12157 https://www.mathnet.ru/eng/mzm/v106/i5/p736
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Abstract page: | 221 | Full-text PDF : | 31 | References: | 30 | First page: | 25 |
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