Novikov Dialgebras and Perm Algebras
Sartayev B. Dzhumadil’daev A. Mashurov F.
August 2025Springer
Bulletin of the Iranian Mathematical Society
2025#51Issue 4
In this paper, we consider perm algebras equipped with a derivation d and introduce a new operation a≻b=d(a)b. Using this new operation on differential perm algebra, we construct a linear basis of the free Novikov dialgebra. We also describe a complete list of identities that hold on every differential perm algebra relative to the operation ≻.
Free algebras , Novikov dialgebras , Perm algebras , Polynomial identities
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Narxoz University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
SDU University, Kaskelen, Kazakhstan
Narxoz University
Institute of Mathematics and Mathematical Modeling
SDU University
10 лет помогаем публиковать статьи Международный издатель
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