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Some remarks about integral categories. / Kopylov, Yaroslav; Zinchenko, Max.

In: Journal of Algebra, Vol. 708, 15.12.2026, p. 617-629.

Research output: Contribution to journal › Article › peer-review

Harvard

Kopylov, Y & Zinchenko, M 2026, 'Some remarks about integral categories', Journal of Algebra, vol. 708, pp. 617-629. https://doi.org/10.1016/j.jalgebra.2026.08.014

APA

Kopylov, Y., & Zinchenko, M. (2026). Some remarks about integral categories. Journal of Algebra, 708, 617-629. https://doi.org/10.1016/j.jalgebra.2026.08.014

Vancouver

Kopylov Y, Zinchenko M. Some remarks about integral categories. Journal of Algebra. 2026 Dec 15;708:617-629. doi: 10.1016/j.jalgebra.2026.08.014

Author

Kopylov, Yaroslav ; Zinchenko, Max. / Some remarks about integral categories. In: Journal of Algebra. 2026 ; Vol. 708. pp. 617-629.

BibTeX

@article{cb0c66c5309a4b3e94b94083c0229593,
title = "Some remarks about integral categories",
abstract = "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.",
keywords = "Integral category, Preabelian category, Quasi-abelian category, Semi-abelian category, Преабелева категория, Интегральная категория, Полуабелева категория, Квазиабелева категория",
author = "Yaroslav Kopylov and Max Zinchenko",
note = "Yaroslav Kopylov, Max Zinchenko, Some remarks about integral categories, Journal of Algebra, Volume 708, 2026, Pages 617-629, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2026.08.014.",
year = "2026",
month = dec,
day = "15",
doi = "10.1016/j.jalgebra.2026.08.014",
language = "English",
volume = "708",
pages = "617--629",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier Science Publishing Company, Inc.",

}

RIS

TY - JOUR

T1 - Some remarks about integral categories

AU - Kopylov, Yaroslav

AU - Zinchenko, Max

N1 - Yaroslav Kopylov, Max Zinchenko, Some remarks about integral categories, Journal of Algebra, Volume 708, 2026, Pages 617-629, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2026.08.014.

PY - 2026/12/15

Y1 - 2026/12/15

N2 - 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.

AB - 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.

KW - Integral category

KW - Preabelian category

KW - Quasi-abelian category

KW - Semi-abelian category

KW - Преабелева категория

KW - Интегральная категория

KW - Полуабелева категория

KW - Квазиабелева категория

UR - https://www.mendeley.com/catalogue/b8c1fd77-002e-3cf1-85f7-92372354dff9/

UR - https://www.scopus.com/pages/publications/105054104498

U2 - 10.1016/j.jalgebra.2026.08.014

DO - 10.1016/j.jalgebra.2026.08.014

M3 - Article

VL - 708

SP - 617

EP - 629

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 84839608