Abstract
An m-group is a pair \((G,\varphi )\), where \(G\) is an \(\ell \)-group and \(\varphi \) is a decreasing order two automorphisms of G. An \(m\)-group can be regarded as an algebraic system of signature \(m\) and it is obvious that the \(m\)-groups form a variety in this signature. The set \(M\) of varieties of all \(m\)-groups is a semigroup with respect to natural defined operation of multiplication of varieties. In this article a full description of idempotents of \(M\) is given.
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Dedicated to the memory of Valery Matveyevich Kopytov
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Bayanova, N.V., Zenkov, A.V. On Idempotents of Semigroup Varieties of m-Groups. Russ Math. 67, 1–7 (2023). https://doi.org/10.3103/S1066369X23060026
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DOI: https://doi.org/10.3103/S1066369X23060026