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On the pre-commutative envelopes of commutative algebras. / Alhussein, H.; Kolesnikov, P. S.

In: Journal of Algebra and its Applications, 02.10.2024.

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

Harvard

Alhussein, H & Kolesnikov, PS 2024, 'On the pre-commutative envelopes of commutative algebras', Journal of Algebra and its Applications. https://doi.org/10.1142/s0219498826500088

APA

Alhussein, H., & Kolesnikov, P. S. (2024). On the pre-commutative envelopes of commutative algebras. Journal of Algebra and its Applications, [2650008]. https://doi.org/10.1142/s0219498826500088

Vancouver

Alhussein H, Kolesnikov PS. On the pre-commutative envelopes of commutative algebras. Journal of Algebra and its Applications. 2024 Oct 2;2650008. doi: 10.1142/s0219498826500088

Author

Alhussein, H. ; Kolesnikov, P. S. / On the pre-commutative envelopes of commutative algebras. In: Journal of Algebra and its Applications. 2024.

BibTeX

@article{9b929f37957149eeb4c70ebe7dbc2954,
title = "On the pre-commutative envelopes of commutative algebras",
abstract = "We prove that every nilpotent commutative algebra over a field of characteristic zero can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional algebras, the nilpotency condition is necessary for a commutative algebra to have a pre-commutative envelope.",
author = "H. Alhussein and Kolesnikov, {P. S.}",
year = "2024",
month = oct,
day = "2",
doi = "10.1142/s0219498826500088",
language = "English",
journal = "Journal of Algebra and its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",

}

RIS

TY - JOUR

T1 - On the pre-commutative envelopes of commutative algebras

AU - Alhussein, H.

AU - Kolesnikov, P. S.

PY - 2024/10/2

Y1 - 2024/10/2

N2 - We prove that every nilpotent commutative algebra over a field of characteristic zero can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional algebras, the nilpotency condition is necessary for a commutative algebra to have a pre-commutative envelope.

AB - We prove that every nilpotent commutative algebra over a field of characteristic zero can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional algebras, the nilpotency condition is necessary for a commutative algebra to have a pre-commutative envelope.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205376440&origin=inward&txGid=abd6476a14f184bde2744589433d3680

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001321112200002

UR - https://www.mendeley.com/catalogue/625cd0b8-ada6-3092-8890-740c37f93ca4/

U2 - 10.1142/s0219498826500088

DO - 10.1142/s0219498826500088

M3 - Article

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

SN - 0219-4988

M1 - 2650008

ER -

ID: 61205867