On quasi-identities of finite nilpotent algebras
Copyright policy )On quasi-identities of finite nilpotent algebras
The author proves the conjecture of \textit{V. A. Gorbunov}: ``If a finite algebra \(G\) in a congruence modular variety \(\mathcal V\) has a nilpotent nonabelian subalgebra \(H,\) then the quasivariety generated by \(G\) is not finitely based'' for quasirings, introduced by \textit{A. I. Mal'tsev} in 1953. Several statements which confirm this conjecture with some additional conditions for the variety \(\mathcal V\) and the algebra \(H\) are shown.
quasivariety, Congruence modularity, congruence distributivity, Generalizations, quasirings, quasi-identities, Quasivarieties, congruence modular variety
quasivariety, Congruence modularity, congruence distributivity, Generalizations, quasirings, quasi-identities, Quasivarieties, congruence modular variety
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