Yakun Zhang

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20242026

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math.KT2026

A general Mayer-Vietoris sequence in algebraic $K$ -theory

Yakun Zhang

This paper investigates the Mayer-Vietoris sequence for the Milnor square. While such sequences often involve elusive intermediate terms, we provide an explicit characterization of…

math.KT2026

One Decomposition of $K_{2}$ -Group for Certain Quotients over $Z [G]$ with $G$ a Finite Abelian $p$ -Group

Yakun Zhang

This paper investigates the structure of $K_{2}$ -groups for certain quotient rings of the integral group ring $Z [G]$ . Let $G$ be a finite abelian $p$ -group with $p$ -rank $r$ …

math.KT2025

Computations of $K_{2}$ for certain $Z / p^{s} Z$ -algebras and the extension of Oliver's logarithm

Yakun Zhang

This paper describes the $K$ -theory structure for three algebra classes. For cyclic $p$ -group rings and truncated polynomial rings over $Z / p^{s} Z$ , we determine red…

math.KT2024

Explicit $K_{2}$ of certain quotient rings over $Z [G]$ for $G$ an elementary abelian $p$ -group

Yakun Zhang

Let $G$ be an elementary abelian $p$ -group. In this paper, we calculate the $K_{2}$ -groups of some quotient rings $Z [G] / I$ for certain ideals $I \subseteq Z [G]$ of…

A general Mayer-Vietoris sequence in algebraic K-theory

One Decomposition of K2​-Group for Certain Quotients over Z[G] with G a Finite Abelian p-Group

Computations of K2​ for certain Z/psZ-algebras and the extension of Oliver's logarithm

Explicit K2​ of certain quotient rings over Z[G] for G an elementary abelian p-group

A general Mayer-Vietoris sequence in algebraic $K$ -theory

One Decomposition of $K_{2}$ -Group for Certain Quotients over $Z [G]$ with $G$ a Finite Abelian $p$ -Group

Computations of $K_{2}$ for certain $Z / p^{s} Z$ -algebras and the extension of Oliver's logarithm

Explicit $K_{2}$ of certain quotient rings over $Z [G]$ for $G$ an elementary abelian $p$ -group