Binary perm algebras and alternative algebras
Kunanbayev A. Sartayev B.
2026Taylor and Francis Ltd.
Communications in Algebra
2026#54Issue 1299 - 307 pp.
In this paper, we describe the defining identities of the variety of binary perm algebras, which is a subvariety of the variety of alternative algebras. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under the commutator.
Alternative algebra , binary algebra , perm algebra , polynomial identities
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Narxoz University, Almaty, Kazakhstan
SDU University, Kaskelen, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Narxoz University
SDU University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026