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On dimension theory of supermodules, super-rings, and superschemes Научная публикация

Журнал

Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125

Вых. Данные

Год: 2022, Том: 50, Номер: 12, Страницы: 5387-5409 Страниц : 23 DOI: 10.1080/00927872.2022.2085286

Ключевые слова

Fiber of superscheme morphism; Krull super-dimension; super-commutative Noetherian super-ring; supermodule; superscheme of finite type

Авторы

Zubkov A.N. ^1,2 , Kolesnikov P.S. ³

Организации

1	Department of Mathematical Science, UAEU, Al-Ain, United Arab Emirates
2	Sobolev Institute of Mathematics, Omsk Branch, Omsk, Russian Federation
3	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

We introduce the notion of Krull super-dimension of supermodules over certain super-commutative Noetherian super-rings. We investigate how this notion relates to the notion of odd regular sequence due T. Schmitt and how it behaves with respect to the transition to the graded and bigraded super-modules and super-rings associated with the original ones. We also apply these results to the super-dimension theory of superschemes of finite type and their morphisms. © 2022 Taylor & Francis Group, LLC.

Zubkov A.N. , Kolesnikov P.S.
On dimension theory of supermodules, super-rings, and superschemes
Communications in Algebra. 2022. V.50. N12. P.5387-5409. DOI: 10.1080/00927872.2022.2085286 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	21 июн. 2021 г.
Принята к публикации:	23 мая 2022 г.
Опубликована online:	14 июн. 2022 г.

Web of science:	WOS:000811128000001
Scopus:	2-s2.0-85131841938
РИНЦ:	48723436
OpenAlex:	W4283377143

БД	Цитирований
Scopus	2
Web of science	3
OpenAlex	4
РИНЦ	1