The free semigroup of magic squares (Q1919165)
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scientific article; zbMATH DE number 912509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The free semigroup of magic squares |
scientific article; zbMATH DE number 912509 |
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The free semigroup of magic squares (English)
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27 June 1999
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The authors studies a law of composition upon magic (semimagic or panmagic) squares, already introduced in the literature, that provides the set of all magic (semimagic or panmagic) squares with a structure of semigroup. He then proves a conjecture of \textit{A. Adler} and \textit{S.-Y. R. Li} [Am. Math. Mon. 84, 618-627 (1977; Zbl 0389.05018)] and \textit{A. Adler} [Electron. J. Comb. 4, No. 1, Research Paper R15 (1997; Zbl 0885.05007)], that this semigroup is free.
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free semigroup
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magic square
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