Department of Mathematics2024-11-0920181431-06432-s2.0-85068132046https://hdl.handle.net/20.500.14288/3589We introduce a new algebraic-cycle model for the motivic cohomology theory of truncated polynomials k[t]/(t(m)) in one variable. This approach uses ideas from the deformation theory and non-archimedean analysis, and is distinct from the approaches via cycles with modulus. We prove that the groups in the Milnor range give the Milnor K-groups of k[t]I/(t(m)), when the base field is of characteristic 0. Its relative part is the sum of the absolute Kahler differential forms.pdfMathematicsJournal Article468272500024Q2NOIR01670