论\(\mathbb {Z}\) -范畴的k理论

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2023-11-04 DOI:10.1007/s40062-023-00333-2

Eugenia Ellis, Rafael Parra

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引用次数: 0

摘要

我们建立了\(\mathbb {Z}\)有限多对象线性范畴的Noetherian、正则相干和正则n相干范畴的概念与单位环的相应概念之间的联系。这些联系使我们得到了\(\mathbb {Z}\) -线性范畴的k -理论的一个负k -理论消失结果、一个基本定理和一个同伦不变性结果。

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On the K-theory of \(\mathbb {Z}\)-categories

We establish connections between the concepts of Noetherian, regular coherent, and regular n-coherent categories for \(\mathbb {Z}\)-linear categories with finitely many objects and the corresponding notions for unital rings. These connections enable us to obtain a negative K-theory vanishing result, a fundamental theorem, and a homotopy invariance result for the K-theory of \(\mathbb {Z}\)-linear categories.

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.