Radicals in flip subalgebras of Matsuo algebras

B. G. Rodrigues; S. Shpectorov

doi:10.1007/s40065-025-00511-5

Radicals in flip subalgebras of Matsuo algebras

B. G. Rodrigues^*
, S. Shpectorov

^*Corresponding author for this work

Mathematics

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

Abstract

We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.

Original language	English
Number of pages	19
Journal	Arabian Journal of Mathematics
Early online date	31 May 2025
DOIs	https://doi.org/10.1007/s40065-025-00511-5
Publication status	E-pub ahead of print - 31 May 2025

Bibliographical note

Publisher Copyright:
© The Author(s) 2025.

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s40065-025-00511-5Licence: Creative Commons: Attribution (CC BY)

RodriguesBG2025RadicalsFinal published version, 463 KBLicence: Creative Commons: Attribution (CC BY)

Cite this

@article{d6eb5436e71d4f6f9f9a5af7fc960814,

title = "Radicals in flip subalgebras of Matsuo algebras",

abstract = "We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.",

author = "Rodrigues, \{B. G.\} and S. Shpectorov",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

month = may,

day = "31",

doi = "10.1007/s40065-025-00511-5",

language = "English",

journal = "Arabian Journal of Mathematics",

issn = "2193-5343",

publisher = "Springer Open",

}

TY - JOUR

T1 - Radicals in flip subalgebras of Matsuo algebras

AU - Rodrigues, B. G.

AU - Shpectorov, S.

PY - 2025/5/31

Y1 - 2025/5/31

N2 - We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.

AB - We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.

UR - https://www.scopus.com/pages/publications/105006915856

U2 - 10.1007/s40065-025-00511-5

DO - 10.1007/s40065-025-00511-5

M3 - Article

AN - SCOPUS:105006915856

SN - 2193-5343

JO - Arabian Journal of Mathematics

JF - Arabian Journal of Mathematics

ER -

Radicals in flip subalgebras of Matsuo algebras

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this