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Semiprime Novikov algebras. / Panasenko, A. S.

In: International Journal of Algebra and Computation, Vol. 32, No. 7, 01.11.2022, p. 1369-1378.

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

Harvard

Panasenko, AS 2022, 'Semiprime Novikov algebras', International Journal of Algebra and Computation, vol. 32, no. 7, pp. 1369-1378. https://doi.org/10.1142/S0218196722500606

APA

Panasenko, A. S. (2022). Semiprime Novikov algebras. International Journal of Algebra and Computation, 32(7), 1369-1378. https://doi.org/10.1142/S0218196722500606

Vancouver

Panasenko AS. Semiprime Novikov algebras. International Journal of Algebra and Computation. 2022 Nov 1;32(7):1369-1378. doi: 10.1142/S0218196722500606

Author

Panasenko, A. S. / Semiprime Novikov algebras. In: International Journal of Algebra and Computation. 2022 ; Vol. 32, No. 7. pp. 1369-1378.

BibTeX

@article{21bf83b81a674caa8ee855ec27770787,

title = "Semiprime Novikov algebras",

abstract = "We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative semiprime algebra is semiprime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras.",

keywords = "center, Novikov algebra, nucleus, prime algebra, semiprime algebra",

author = "Panasenko, {A. S.}",

note = "Publisher Copyright: {\textcopyright} 2022 World Scientific Publishing Company.",

year = "2022",

month = nov,

day = "1",

doi = "10.1142/S0218196722500606",

language = "English",

volume = "32",

pages = "1369--1378",

journal = "International Journal of Algebra and Computation",

issn = "0218-1967",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "7",

}

RIS

TY - JOUR

T1 - Semiprime Novikov algebras

AU - Panasenko, A. S.

PY - 2022/11/1

Y1 - 2022/11/1

N2 - We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative semiprime algebra is semiprime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras.

AB - We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative semiprime algebra is semiprime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras.

KW - center

KW - Novikov algebra

KW - nucleus

KW - prime algebra

KW - semiprime algebra

UR - http://www.scopus.com/inward/record.url?scp=85136531124&partnerID=8YFLogxK

U2 - 10.1142/S0218196722500606

DO - 10.1142/S0218196722500606

M3 - Article

AN - SCOPUS:85136531124

VL - 32

SP - 1369

EP - 1378

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 7

ER -

ID: 37053314