Standard

Formal group laws over ℤ. / Demchenko , Oleg.

In: Communications in Algebra, Vol. 48, No. 10, 02.10.2020, p. 4444-4456.

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

Harvard

Demchenko , O 2020, 'Formal group laws over ℤ', Communications in Algebra, vol. 48, no. 10, pp. 4444-4456. https://doi.org/10.1080/00927872.2020.1763377

APA

Demchenko , O. (2020). Formal group laws over ℤ. Communications in Algebra, 48(10), 4444-4456. https://doi.org/10.1080/00927872.2020.1763377

Vancouver

Demchenko O. Formal group laws over ℤ. Communications in Algebra. 2020 Oct 2;48(10):4444-4456. https://doi.org/10.1080/00927872.2020.1763377

Author

Demchenko , Oleg. / Formal group laws over ℤ. In: Communications in Algebra. 2020 ; Vol. 48, No. 10. pp. 4444-4456.

BibTeX

@article{31871466b85041e6aa67418648da7219,
title = "Formal group laws over ℤ",
abstract = "A global analog of Fontaine{\textquoteright}s category of triples is introduced. While the latter is antiequivalent to the category of formal group laws over the ring of Witt vectors over a finite field of characteristic p, the introduced category is antiequivalent to the category of formal group laws over Z. Explicit constructions of kernels and cokernels in this category are given, thus proving that it is pre-abelian.",
keywords = "Dieudonn{\'e} module, formal group, pre-abelian category",
author = "Oleg Demchenko",
note = "Publisher Copyright: {\textcopyright} 2020 Taylor & Francis Group, LLC.",
year = "2020",
month = oct,
day = "2",
doi = "10.1080/00927872.2020.1763377",
language = "English",
volume = "48",
pages = "4444--4456",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor & Francis",
number = "10",

}

RIS

TY - JOUR

T1 - Formal group laws over ℤ

AU - Demchenko , Oleg

N1 - Publisher Copyright: © 2020 Taylor & Francis Group, LLC.

PY - 2020/10/2

Y1 - 2020/10/2

N2 - A global analog of Fontaine’s category of triples is introduced. While the latter is antiequivalent to the category of formal group laws over the ring of Witt vectors over a finite field of characteristic p, the introduced category is antiequivalent to the category of formal group laws over Z. Explicit constructions of kernels and cokernels in this category are given, thus proving that it is pre-abelian.

AB - A global analog of Fontaine’s category of triples is introduced. While the latter is antiequivalent to the category of formal group laws over the ring of Witt vectors over a finite field of characteristic p, the introduced category is antiequivalent to the category of formal group laws over Z. Explicit constructions of kernels and cokernels in this category are given, thus proving that it is pre-abelian.

KW - Dieudonné module

KW - formal group

KW - pre-abelian category

UR - https://www.tandfonline.com/doi/full/10.1080/00927872.2020.1763377

UR - http://www.scopus.com/inward/record.url?scp=85086655052&partnerID=8YFLogxK

U2 - 10.1080/00927872.2020.1763377

DO - 10.1080/00927872.2020.1763377

M3 - Article

VL - 48

SP - 4444

EP - 4456

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 10

ER -

ID: 60905813