On dimension theory of supermodules, super-rings, and superschemes Full article
| Journal |
Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125 |
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| Output data | Year: 2022, Volume: 50, Number: 12, Pages: 5387-5409 Pages count : 23 DOI: 10.1080/00927872.2022.2085286 | ||||||
| Tags | Fiber of superscheme morphism; Krull super-dimension; super-commutative Noetherian super-ring; supermodule; superscheme of finite type | ||||||
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Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Jun 21, 2021 |
| Accepted: | May 23, 2022 |
| Published online: | Jun 14, 2022 |
Identifiers:
| Web of science: | WOS:000811128000001 |
| Scopus: | 2-s2.0-85131841938 |
| Elibrary: | 48723436 |
| OpenAlex: | W4283377143 |