Geodesic
Complete classification of two classes of two-dimensional PI-algebras over any basic field
Čebyševskij sbornik, Tome 25 (2024) no. 5, pp. 164-182 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we give complete classification of two classes of two-dimensional $PI$-algebras over any basic field. The choice of these two classes is predicted by the polynomial identities of the classes: the identity of one of them is given by using the binary operation of the algebra another one involves the bracket operation in the identity. The list of the representatives of isomorphism classes are provided. We compare our list with that obtained earlier, where such a classification was given under certain constraints on the basic field.
Keywords: well-defined cube algebra, mixed associative algebra
Mots-clés : isomorphism, classification. 
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     title = {Complete classification of two classes of two-dimensional {PI-algebras} over any basic field},
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I. Rakhimov; H. Jamil; R. N. Mohd Nasir. Complete classification of two classes of two-dimensional PI-algebras over any basic field. Čebyševskij sbornik, Tome 25 (2024) no. 5, pp. 164-182. http://geodesic.mathdoc.fr/item/CHEB_2024_25_5_a10/