VARIETY OF BICOMMUTATIVE ALGEBRAS DEFINED BY IDENTITY Γ[(AB)C − 2(BA)C + (CA)B] + Δ[C(BA) − 2C(AB) + B(AC)] = 0
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Date
2022-05
Authors
Bakirova, Altynay
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Sciences and Humanities
Abstract
One of the important problem of the theory of polynomial identi tites in algebra is describe all varieties of algebras with given system of
identities. Our aim is to classify all subvarieties of the variety of bicom mutative algebras. Classifying is usually done in the language of lattices.
Of course this problem is equivalent to describing of T-ideals. In order
to construct a lattice of subvarieties of given variety of algebras, we need
to define the following 1) determine the module structure of Pn(M) over
the symmetric group; 2) find for each irreducible Sn-module in Pn(M)
a consequence in Pn+1(M).
Description
Keywords
Type of access: Restricted, algebra
Citation
Altynay Bakirova (2022). Variety of Bicommutative Algebras defined by identity γ[(ab)c − 2(ba)c + (ca)b] + δ[c(ba) − 2c(ab) + b(ac)] = 0. Nazarbayev University, Nur-sultan, Kazakhstan