Home > Research > Publications & Outputs > Nilpotency, Solvability and Frattini Theory for...

Research

Electronic data

  • novikov algebras

    Accepted author manuscript, 223 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

View graph of relations

Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras. / Towers, David.
In: Communications in Algebra, Vol. 53, No. 3, 31.03.2025, p. 917-928.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Towers, D 2025, 'Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras', Communications in Algebra, vol. 53, no. 3, pp. 917-928. https://doi.org/10.1080/00927872.2024.2394969

APA

Towers, D. (2025). Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras. Communications in Algebra, 53(3), 917-928. https://doi.org/10.1080/00927872.2024.2394969

Vancouver

Towers D. Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras. Communications in Algebra. 2025 Mar 31;53(3):917-928. Epub 2024 Sept 5. doi: 10.1080/00927872.2024.2394969

Author

Towers, David. / Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras. In: Communications in Algebra. 2025 ; Vol. 53, No. 3. pp. 917-928.

Bibtex

@article{c0be329b607d4e59839f60447fa9bcee,
title = "Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras",
abstract = "This paper starts by showing that, for algebras in a certain class, theconcepts of weak nilpotency and nilpotency coincide. It goes on to describesome solvability and nilpotency properties of bicommutative algebras, of as-sosymmetric algebras and of Novikov algebras and to introduce a Frattinitheory for all of them. A description is also given for semisimple bicommu-tative algebras over any field.",
author = "David Towers",
year = "2025",
month = mar,
day = "31",
doi = "10.1080/00927872.2024.2394969",
language = "English",
volume = "53",
pages = "917--928",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras

AU - Towers, David

PY - 2025/3/31

Y1 - 2025/3/31

N2 - This paper starts by showing that, for algebras in a certain class, theconcepts of weak nilpotency and nilpotency coincide. It goes on to describesome solvability and nilpotency properties of bicommutative algebras, of as-sosymmetric algebras and of Novikov algebras and to introduce a Frattinitheory for all of them. A description is also given for semisimple bicommu-tative algebras over any field.

AB - This paper starts by showing that, for algebras in a certain class, theconcepts of weak nilpotency and nilpotency coincide. It goes on to describesome solvability and nilpotency properties of bicommutative algebras, of as-sosymmetric algebras and of Novikov algebras and to introduce a Frattinitheory for all of them. A description is also given for semisimple bicommu-tative algebras over any field.

U2 - 10.1080/00927872.2024.2394969

DO - 10.1080/00927872.2024.2394969

M3 - Journal article

VL - 53

SP - 917

EP - 928

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 3

ER -