Bass' Fundamental Theorem

GPTKB entity

Statements (11)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo rings
gptkbp:describes relationship between K-groups of a ring and its polynomial ring
gptkbp:field gptkb:algebraic_K-theory
https://www.w3.org/2000/01/rdf-schema#label Bass' Fundamental Theorem
gptkbp:importantFor foundational result in algebraic K-theory
gptkbp:namedAfter gptkb:Hyman_Bass
gptkbp:publishedIn gptkb:Algebraic_K-theory_(1968)
gptkbp:state K_n(R[x]) ≅ K_n(R) ⊕ K_{n-1}(R) for n ≥ 1
gptkbp:bfsParent gptkb:higher_algebraic_K-theory
gptkbp:bfsLayer 7