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On linear transformations preserving cyclicity index of nonnegative matrices. / Козлов, Роман Александрович; Колесников, Павел Сергеевич.

в: Fundamental and Applied Mathematics, Том 25, № 1, 2024, стр. 103-122.

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

Harvard

Козлов, РА & Колесников, ПС 2024, 'On linear transformations preserving cyclicity index of nonnegative matrices', Fundamental and Applied Mathematics, Том. 25, № 1, стр. 103-122.

APA

Козлов, Р. А., & Колесников, П. С. (2024). On linear transformations preserving cyclicity index of nonnegative matrices. Fundamental and Applied Mathematics, 25(1), 103-122.

Vancouver

Козлов РА, Колесников ПС. On linear transformations preserving cyclicity index of nonnegative matrices. Fundamental and Applied Mathematics. 2024;25(1):103-122.

Author

Козлов, Роман Александрович ; Колесников, Павел Сергеевич. / On linear transformations preserving cyclicity index of nonnegative matrices. в: Fundamental and Applied Mathematics. 2024 ; Том 25, № 1. стр. 103-122.

BibTeX

@article{c11751e8285b4d6480dc0e0465ffd97d,
title = "On linear transformations preserving cyclicity index of nonnegative matrices",
abstract = "In the paper, we show how to apply the Gr{\"o}bner-Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gr{\"o}bner-Shirshov bases for a series of vertex algebras and study the problem of embedding of a left-symmetric algebra into a vertex one preserving the normally ordered product.",
author = "Козлов, {Роман Александрович} and Колесников, {Павел Сергеевич}",
year = "2024",
language = "English",
volume = "25",
pages = "103--122",
journal = "Fundamental and Applied Mathematics",
issn = "1560-5159",
publisher = "Московский государственный университет им. М.В. Ломоносова",
number = "1",

}

RIS

TY - JOUR

T1 - On linear transformations preserving cyclicity index of nonnegative matrices

AU - Козлов, Роман Александрович

AU - Колесников, Павел Сергеевич

PY - 2024

Y1 - 2024

N2 - In the paper, we show how to apply the Gröbner-Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gröbner-Shirshov bases for a series of vertex algebras and study the problem of embedding of a left-symmetric algebra into a vertex one preserving the normally ordered product.

AB - In the paper, we show how to apply the Gröbner-Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gröbner-Shirshov bases for a series of vertex algebras and study the problem of embedding of a left-symmetric algebra into a vertex one preserving the normally ordered product.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85213970637&origin=inward&txGid=8a84a070d44a0353334ef79695c0b2a1

M3 - Article

VL - 25

SP - 103

EP - 122

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

SN - 1560-5159

IS - 1

ER -

ID: 61412535