Kernels of covered groups over completely regular inverse semigroups

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Abstract

It has been mentioned previously that kernels of covered groups have a connection to geometric structures. In this paper we continue the investigations related to translation structures started in [3] and determine the J_v- radical, v=0,1,2, of the kernel with operators from a completely regular inverse semigroup. We also characterize when the near-ring is semisimple.
Original languageEnglish
Pages (from-to)1556-1564
Number of pages9
JournalCommunications in Algebra
Volume51
Issue number4
DOIs
Publication statusPublished - Feb 2023

Fields of science

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

JKU Focus areas

  • Digital Transformation

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