A variant of algebraic K-theory

TL;DR

This paper introduces a new variant of algebraic K-theory, demonstrating its stability and ability to preserve module structures, thereby expanding the theoretical framework of algebraic K-theory.

Contribution

It proposes a novel variant of algebraic K-theory with proven stability and module structure preservation, offering new tools for algebraic and geometric applications.

Findings

The variant is stable under certain operations.

It preserves module structures in algebraic contexts.

Provides a foundation for further theoretical exploration.

Abstract

We study a variant of algebraic K-theory and prove that it is stable and preserves module structures.