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1. Algebraic K-theory: Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called K-groups. [100%] 2024-01-09 [Algebraic K-theory] [Algebraic geometry]...
2. Algebraic K-theory: A branch of algebra, dealing mainly with the study of the so-called $K$-functors ($K_0, K_1$, etc., cf. $K$-functor); it is a part of general linear algebra. (Mathematics) [100%] 2024-01-09
3. Stability theorems in algebraic K-theory: Assertions on the invariance of the groups $ K _{i} (R) $ or their subgroups, given certain special extensions of the ground ring $ R $( see Algebraic $ K $- theory). The following are the best-known stability theorems. (Mathematics) [70%] 2023-10-13
4. Fundamental theorem of algebraic K-theory: In algebra, the fundamental theorem of algebraic K-theory describes the effects of changing the ring of K-groups from a ring R to \displaystyle{ R }[/math] or \displaystyle{ R[t, t^{-1}] }[/math]. The theorem was first proved by ... (On the effects of changing the ring of ''K''-groups) [70%] 2023-12-31 [Algebraic K-theory] [Theorems in algebraic topology]...
5. Basic theorems in algebraic K-theory: In mathematics, there are several theorems basic to algebraic K-theory. Throughout, for simplicity, we assume when an exact category is a subcategory of another exact category, we mean it is strictly full subcategory (i.e., isomorphism-closed.) Additivity theorem ... (Four mathematical theorems) [70%] 2025-06-08 [Algebraic K-theory] [Theorems in algebraic topology]...