Browsing Department of Mathematics and Physics by Subject "algebra group"

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    • The upper triangular algebra loop of degree 4 

      Johnson, Kenneth Walter; Munywoki, Michael; Smith, Jonathan DH (Charles University in Prague, Faculty of Mathematics and Physics, 2014)
      A natural loop structure is defined on the set $U_4$ of unimodular upper-triangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is non-associative and nilpotent, of class ...