Recent Issues
Volume 9, Issue 3
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 4
Volume 8, Issue 3
Volume 8, Issue 2
Volume 8, Issue 1
Volume 7, Issue 4
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
Abstract
We study relative algebraic K-theory of admissible Zariski–Riemann spaces and prove
that it is equivalent to relative G-theory and satisfies homotopy invariance. Moreover,
we provide an example of a nonnoetherian abelian category whose negative K-theory
vanishes.
Keywords
K-theory, Zariski–Riemann spaces
Mathematical Subject Classification
Primary: 19D35, 19E08
Milestones
Received: 26 March 2021
Revised: 12 January 2023
Accepted: 30 January 2023
Published: 1 May 2023
© 2023 MSP (Mathematical Sciences
Publishers).