Browsing by Author "Makhasheva A."

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    Variety of Bicommutative Algebras defined by identity
    (Faculty of Engineering and Natural Science, 2022) Makhasheva A.
    One of the important questions in modern algebra is to study algebras satisfying certain identities. There are two questions in the theory of polynomial identities. The first is to describe an algebra by a defined identity. The second is to describe identities in algebra. The study of identities will help us in the construction of basis of free algebra, in the study of the Hilbert sequence, the Specht problem and problems of the finite basis. In this work, we used two different research methods. First, the theory of representations of symmetric groups. Second, the theory of representations of linear groups. In this research paper, we have completely described the subvariety of variety of bicommutative algebras defined by the identity α[(ab)c+(ba)c+(ca)b]+β[a(bc)+a(cb)+b(ca)]=0.