The largest higher commutator sequence
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RIS BIB ENDNOTEThe largest higher commutator sequence
Publication date: 08.10.2019
Reports on Mathematical Logic, 2019, Number 54, pp. 83 - 94
https://doi.org/10.4467/20842589RM.19.004.10652Authors
The largest higher commutator sequence
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
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Information: Reports on Mathematical Logic, 2019, Number 54, pp. 83 - 94
Article type: Original article
Titles:
The largest higher commutator sequence
The largest higher commutator sequence
Department of Mathematics and Informatics, Faculty of Sciences University of Novi Sad, 21000 Novi Sad, Serbia
Published at: 08.10.2019
Article status: Open
Licence: CC BY-NC-ND
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English