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Some remarks about integral categories Научная публикация

Журнал

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

Вых. Данные

Год: 2026, Том: 708, Страницы: 617-629 Страниц : 13 DOI: 10.1016/j.jalgebra.2026.08.014

Ключевые слова

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

Авторы

Kopylov Yaroslav ¹ , Zinchenko Max ²

Организации

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

Информация о финансировании (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

Опубликована в печати:

15 дек. 2026 г.

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