Congruence lattices forcing nilpotency

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Abstract

We describe congruence lattices that force nilpotency, supernilpotency or solvability for some classes of algebras. For this purpose, we investigate which commutator operations can exist on a given congruence lattice.
Original languageGerman (Austria)
Article number1850033
Pages (from-to)1850033-1 - 1850033-24
Number of pages24
JournalJournal of Algebra and its Applications
Volume17
Issue number2
DOIs
Publication statusPublished - 2018

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101013 Mathematical logic
  • 102031 Theoretical computer science

JKU Focus areas

  • Computation in Informatics and Mathematics
  • Engineering and Natural Sciences (in general)

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