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Net determinant over a Bezoutian local ring. / Borevich, Z. I.; Vavilov, N. A.

в: Journal of Soviet Mathematics, Том 26, № 3, 08.1984, стр. 1839-1844.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Borevich, ZI & Vavilov, NA 1984, 'Net determinant over a Bezoutian local ring', Journal of Soviet Mathematics, Том. 26, № 3, стр. 1839-1844. https://doi.org/10.1007/BF01670567

APA

Borevich, Z. I., & Vavilov, N. A. (1984). Net determinant over a Bezoutian local ring. Journal of Soviet Mathematics, 26(3), 1839-1844. https://doi.org/10.1007/BF01670567

Vancouver

Borevich ZI, Vavilov NA. Net determinant over a Bezoutian local ring. Journal of Soviet Mathematics. 1984 Авг.;26(3):1839-1844. https://doi.org/10.1007/BF01670567

Author

Borevich, Z. I. ; Vavilov, N. A. / Net determinant over a Bezoutian local ring. в: Journal of Soviet Mathematics. 1984 ; Том 26, № 3. стр. 1839-1844.

BibTeX

@article{b1c5f209d3774ec4babdbdd2c04a930d,

title = "Net determinant over a Bezoutian local ring",

abstract = "Let σ be any D-net of ideals of order n over a commutative local Bezoutian ring R and denote by G(σ) the corresponding net subgroup in the general linear group of degree n over R (RZhMat, 1977, 2A280). We give an explicit computation of the factor group G(σ)/E(σ), where E(σ) is the subgroup generated by all elementary transvections in G(σ).",

author = "Borevich, {Z. I.} and Vavilov, {N. A.}",

year = "1984",

month = aug,

doi = "10.1007/BF01670567",

language = "English",

volume = "26",

pages = "1839--1844",

journal = "Journal of Mathematical Sciences (Switzerland)",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Net determinant over a Bezoutian local ring

AU - Borevich, Z. I.

AU - Vavilov, N. A.

PY - 1984/8

Y1 - 1984/8

N2 - Let σ be any D-net of ideals of order n over a commutative local Bezoutian ring R and denote by G(σ) the corresponding net subgroup in the general linear group of degree n over R (RZhMat, 1977, 2A280). We give an explicit computation of the factor group G(σ)/E(σ), where E(σ) is the subgroup generated by all elementary transvections in G(σ).

AB - Let σ be any D-net of ideals of order n over a commutative local Bezoutian ring R and denote by G(σ) the corresponding net subgroup in the general linear group of degree n over R (RZhMat, 1977, 2A280). We give an explicit computation of the factor group G(σ)/E(σ), where E(σ) is the subgroup generated by all elementary transvections in G(σ).

UR - http://www.scopus.com/inward/record.url?scp=34250139050&partnerID=8YFLogxK

U2 - 10.1007/BF01670567

DO - 10.1007/BF01670567

M3 - Article

AN - SCOPUS:34250139050

VL - 26

SP - 1839

EP - 1844

JO - Journal of Mathematical Sciences (Switzerland)

JF - Journal of Mathematical Sciences (Switzerland)

SN - 1072-3374

IS - 3

ER -

ID: 76484061