On products in algebraic K-theory | Zendy

Dominique Arlettaz | Zendy; Grzegorz Banaszak | Zendy; Wojciech Gajda | Zendy

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On products in algebraic K-theory

Author(s) -

Dominique Arlettaz,

Grzegorz Banaszak,

Wojciech Gajda

Publication year - 1999

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050101

Subject(s) - mathematics , algebraic number , algebra over a field , pure mathematics , mathematical analysis

. This paper investigates the product structure in algebraic K-theory of rings. The first objective is to understand the relationships between products and the kernel of the Hurewicz homomorphism relating the algebraic K-theory of any ring to the integral homology of its linear groups. The second part of the paper is devoted to the ring of integers $ \Bbb Z $. Using recent results of V. Voevodsky we completely determine the products in $ K_*{(\Bbb Z)} $ tensored with the ring of 2-adic integers.

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