<![CDATA[WUJ]]><![CDATA[ejournals@wuj.pl]]>https://www.ejournals.eu/20220521ejournals.eu.article.1443603010610.4467/20842589RM.19.004.1065220<![CDATA[lattices, sequences of operations, commutators]]>00ED031001Number10102<![CDATA[Reports on Mathematical Logic]]>03<![CDATA[2019]]>01<![CDATA[Number 54]]>1A01<![CDATA[Nebojša Mudrinski]]>0101<![CDATA[The largest higher commutator sequence]]>01en008303020PLN03<![CDATA[Given the congruence lattice L of a finite algebra A that generates a congruence permutable variety, we look for those sequences of operations on L that have the properties of higher commutator operations of expansions of A. If we introduce the order of such sequences in the natural way the question is whether exists or not the largest one. The answer is positive. We provide a description of the largest element and as a consequence we obtain that the sequences form a complete lattice.
Received 18 September 2018
Supported by the Austrian Science Fund (FWF):P29931 and the Scientific Project 174018 of the Ministry of Science and Education of the Republic of Serbia.
AMS subject classification: Primary 06B10; Secondary 06A07, 08A40]]>012019100815000401https://doi.org/10.4467/20842589RM.19.004.10652