Ideal related K-theory with coefficients
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Ideal related K-theory with coefficients. / Eilers, Soren; Restorff, Gunnar; Ruiz, Efren.
I: Houston Journal of Mathematics, Bind 43, Nr. 2, 2017, s. 403-458.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Ideal related K-theory with coefficients
AU - Eilers, Soren
AU - Restorff, Gunnar
AU - Ruiz, Efren
PY - 2017
Y1 - 2017
N2 - In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras
AB - In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras
KW - Extensions
KW - classification
KW - six term exact sequence
KW - K-theory with coefficients
KW - universal multi-coefficient theorem
M3 - Journal article
VL - 43
SP - 403
EP - 458
JO - Houston Journal of Mathematics
JF - Houston Journal of Mathematics
SN - 0362-1588
IS - 2
ER -
ID: 186872524