Cokernels in the Category of Formal Group Laws

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Cokernels in the Category of Formal Group Laws. / Demchenko, Oleg; Gurevich, Alexander.

In: Applied Categorical Structures, Vol. 30, No. 1, 02.2022, p. 13-31.

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

Author

Demchenko, Oleg ; Gurevich, Alexander. / Cokernels in the Category of Formal Group Laws. In: Applied Categorical Structures. 2022 ; Vol. 30, No. 1. pp. 13-31.

BibTeX

@article{0cd6b2a97fa7472f803081815cb958f4,

title = "Cokernels in the Category of Formal Group Laws",

abstract = "In a recent article, the authors established an explicit description of kernels in the category of the formal group laws over the ring of Witt vectors over a finite field in terms of Fontaine{\textquoteright}s triples. The present research is devoted to an adjacent problem of explicit description of cokernels. The technique developed is applied to a natural monomorphism from Fm to the Weil restriction of Fm with respect to certain ring extensions. Besides, we investigate some properties of the category of formal group laws over the ring of Witt vectors such as left and right integrability and left and right semi-abelianity.",

keywords = "Dieudonne modules, Formal groups, p-Divisible groups, Preabelian categories",

author = "Oleg Demchenko and Alexander Gurevich",

note = "Demchenko, O., Gurevich, A. Cokernels in the Category of Formal Group Laws. Appl Categor Struct 30, 13–31 (2022). https://doi.org/10.1007/s10485-021-09646-w",

year = "2022",

month = feb,

doi = "10.1007/s10485-021-09646-w",

language = "English",

volume = "30",

pages = "13--31",

journal = "Applied Categorical Structures",

issn = "0927-2852",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Cokernels in the Category of Formal Group Laws

AU - Demchenko, Oleg

AU - Gurevich, Alexander

N1 - Demchenko, O., Gurevich, A. Cokernels in the Category of Formal Group Laws. Appl Categor Struct 30, 13–31 (2022). https://doi.org/10.1007/s10485-021-09646-w

PY - 2022/2

Y1 - 2022/2

N2 - In a recent article, the authors established an explicit description of kernels in the category of the formal group laws over the ring of Witt vectors over a finite field in terms of Fontaine’s triples. The present research is devoted to an adjacent problem of explicit description of cokernels. The technique developed is applied to a natural monomorphism from Fm to the Weil restriction of Fm with respect to certain ring extensions. Besides, we investigate some properties of the category of formal group laws over the ring of Witt vectors such as left and right integrability and left and right semi-abelianity.

AB - In a recent article, the authors established an explicit description of kernels in the category of the formal group laws over the ring of Witt vectors over a finite field in terms of Fontaine’s triples. The present research is devoted to an adjacent problem of explicit description of cokernels. The technique developed is applied to a natural monomorphism from Fm to the Weil restriction of Fm with respect to certain ring extensions. Besides, we investigate some properties of the category of formal group laws over the ring of Witt vectors such as left and right integrability and left and right semi-abelianity.

KW - Dieudonne modules

KW - Formal groups

KW - p-Divisible groups

KW - Preabelian categories

UR - http://www.scopus.com/inward/record.url?scp=85104594275&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1deb69a4-149b-3c3c-a6ee-3b57f94e20c5/

U2 - 10.1007/s10485-021-09646-w

DO - 10.1007/s10485-021-09646-w

M3 - Article

AN - SCOPUS:85104594275

VL - 30

SP - 13

EP - 31

JO - Applied Categorical Structures

JF - Applied Categorical Structures

SN - 0927-2852

IS - 1

ER -

ID: 92729705