3 papers
math.RA2026
Classification of -dimensional unital commutative algebras
Maqpal Eraliyeva, Ivan Kaygorodov
We present the complete classification of non-isomorphic complex -dimensional unital commutative algebras. Every such algebra decomposes canonically as , w…
math.RA2026
Unital -dimensional structurable algebras: classification, properties and -construction
Kobiljon Abdurasulov, Maqpal Eraliyeva, Ivan Kaygorodov
This paper is devoted to the classification and studying properties of complex unital -dimensional structurable algebras. We provide a complete list of non-isomorphic classes, i…
math.RA2025
Transposed -Poisson algebra structures on null-filiform associative algebras
Nigora Daukeyeva, Maqpal Eraliyeva, Feruza Toshtemirova
In this paper, we consider transposed -Poisson algebras, which are a generalization of transposed -Poisson algebras. In particular, we describe all transposed -Poisson alg…