This article is cited in 6 papers

Standard elements of the lattice of monoid varieties

S. V. Gusev

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: Standard elements of the lattice of all monoid varieties are described. In particular, it is shown that in this lattice, the property of being a standard element is equivalent to being a neutral element.

Keywords: monoid, variety, lattice of varieties, standard element of lattice, neutral element of lattice.

UDC: 512.532.2

Received: 28.12.2019
Revised: 05.03.2021

DOI: 10.33048/alglog.2020.59.601

 English version: Algebra and Logic, 2021, 59:6, 415–422

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