Some remarks about integral categories

Some remarks about integral categories Full article

Journal

Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X

Output data

Year: 2026, Volume: 708, Pages: 617-629 Pages count : 13 DOI: 10.1016/j.jalgebra.2026.08.014

Tags

Preabelian category; Integral category; Semi-abelian category; Quasi-abelian category

Authors

Kopylov Yaroslav ¹ , Zinchenko Max ²

Affiliations

1	Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090, Novosibirsk, Russia
2	Novosibirsk State University, 1 Pirogova St., 630090, Novosibirsk, Russia

Funding (1)

Министерство науки и высшего образования РФ

FWNF-2026-0026

We consider integral categories, a class of categories that gained importance in the last three decades in the categorical foundations of algebra and functional analysis. We discuss some familiar criteria for integrality and prove new criteria for one- and two-sided integrality. For the first time in the literature, an example is given of a right but not left integral category.

Kopylov Y. , Zinchenko M.
Some remarks about integral categories
Journal of Algebra. 2026. V.708. P.617-629. DOI: 10.1016/j.jalgebra.2026.08.014 WOS OpenAlex

Published print:

Dec 15, 2026

≡ Web of science:	WOS:001874198500001
≡ OpenAlex:	W7165692221