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Generating degrees for graded projective resolutions. / Marcos, Eduardo N.; Solotar, Andrea; Volkov, Yury.

в: Journal of Algebra and its Applications, Том 17, № 10, 1850191, 01.10.2018.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Marcos, EN, Solotar, A & Volkov, Y 2018, 'Generating degrees for graded projective resolutions', Journal of Algebra and its Applications, Том. 17, № 10, 1850191. https://doi.org/10.1142/S0219498818501918

APA

Marcos, E. N., Solotar, A., & Volkov, Y. (2018). Generating degrees for graded projective resolutions. Journal of Algebra and its Applications, 17(10), [1850191]. https://doi.org/10.1142/S0219498818501918

Vancouver

Marcos EN, Solotar A, Volkov Y. Generating degrees for graded projective resolutions. Journal of Algebra and its Applications. 2018 Окт. 1;17(10). 1850191. https://doi.org/10.1142/S0219498818501918

Author

Marcos, Eduardo N. ; Solotar, Andrea ; Volkov, Yury. / Generating degrees for graded projective resolutions. в: Journal of Algebra and its Applications. 2018 ; Том 17, № 10.

BibTeX

@article{27cc1c3a7d5e43399528704f7527d1ba,
title = "Generating degrees for graded projective resolutions",
abstract = "We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known.",
keywords = "Gr{\"o}bner bases, Koszul, linear modules, D-KOSZUL ALGEBRAS, ASSOCIATIVE ALGEBRAS, Grobner bases",
author = "Marcos, {Eduardo N.} and Andrea Solotar and Yury Volkov",
year = "2018",
month = oct,
day = "1",
doi = "10.1142/S0219498818501918",
language = "English",
volume = "17",
journal = "Journal of Algebra and its Applications",
issn = "0219-4988",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "10",

}

RIS

TY - JOUR

T1 - Generating degrees for graded projective resolutions

AU - Marcos, Eduardo N.

AU - Solotar, Andrea

AU - Volkov, Yury

PY - 2018/10/1

Y1 - 2018/10/1

N2 - We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known.

AB - We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known.

KW - Gröbner bases

KW - Koszul

KW - linear modules

KW - D-KOSZUL ALGEBRAS

KW - ASSOCIATIVE ALGEBRAS

KW - Grobner bases

UR - http://www.scopus.com/inward/record.url?scp=85032373832&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/generating-degrees-graded-projective-resolutions

U2 - 10.1142/S0219498818501918

DO - 10.1142/S0219498818501918

M3 - Article

AN - SCOPUS:85032373832

VL - 17

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

SN - 0219-4988

IS - 10

M1 - 1850191

ER -

ID: 35480595