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On a problem of Baayen and Kruyswijk
Published online by Cambridge University Press: 20 January 2009
Extract
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.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 2 , December 1968 , pp. 145 - 149
- Copyright
- Copyright © Edinburgh Mathematical Society 1968