On a problem of Baayen and Kruyswijk

@article{Burgess1968OnAP,
  title={On a problem of Baayen and Kruyswijk},
  author={D. A. Burgess},
  journal={Proceedings of the Edinburgh Mathematical Society},
  year={1968},
  volume={16},
  pages={145 - 149}
}
  • D. A. Burgess
  • Published 1 December 1968
  • Mathematics
  • Proceedings of the Edinburgh Mathematical Society
We shall call a finite semigroup S arithmetical if there exists a positive integer N and a monomorphism μ of S into the multiplicative semigroup RN of the ring of residue classes of the integers modulo N. In 1965 P. C. Baayen and D. Kruyswijk [1] posed the problem' Is every finite commutative semigroup arithmetical? ' The purpose of this paper is to answer this question. 

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The algebraic theory of semigroups

This book, along with volume I, which appeared previously, presents a survey of the structure and representation theory of semi groups. Volume II goes more deeply than was possible in volume I into