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Yet Another Solution to the Burnside Problem for Matrix Semigroups
  Published:2011-03-07
 Printed: Mar 2012
Canadian Mathematical Bulletin
  • Benjamin Steinberg,
    School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6
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Abstract

We use the kernel category to give a finiteness condition for semigroups. As a consequence we provide yet another proof that finitely generated periodic semigroups of matrices are finite.
Keywords: Burnside problem, kernel category Burnside problem, kernel category
MSC Classifications: 20M30, 20M32 show english descriptions Representation of semigroups; actions of semigroups on sets
Algebraic monoids 20M30 - Representation of semigroups; actions of semigroups on sets
20M32 - Algebraic monoids
 
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