Compactness in abelian categories

JOURNAL OF ALGEBRA

卷:534

Article

Kalnai, Peter¹  Zemlicka, Jan¹ 

[1] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Sokolovska 83, Prague 18675 8, Czech Republic

关键词: Additive categories;    Compact object;    Ulam-measurable cardinal;   

DOI  :  10.1016/j.jalgebra.2019.05.037

来源: Elsevier

【 摘 要 】

We relativize the notion of a compact object in an abelian category with respect to a fixed subclass of objects. We show that the standard closure properties persist to hold in this case. Furthermore, we describe categorical and set-theoretical conditions under which all products of compact objects remain compact. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free