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On generating regular elements in the semigroup of binary relations

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Abstract

We prove the semigroup generated by four binary relations contains all regular binary relations.

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References

  1. Devadze, H. M.,Generating sets of the semigroup of all binary relations in a finite set, (Russian), Doklady Akad. Nauk Beloruss. SSR 12 (1968), 765–768. (MR 39 #331).

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  2. Kim, Ki Hang and F. W. Roush,On inverses of Boolean and nonnegative matrices, submitted.

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Authors and Affiliations

  1. Department of mathematics, Alabama State University, 36101, Montgomery, Alabama, USA

    Ki Hang Kim & Fred W. Roush

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  1. Ki Hang Kim
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  2. Fred W. Roush
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Communicated by Boris M. Schein

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Hang Kim, K., Roush, F.W. On generating regular elements in the semigroup of binary relations. Semigroup Forum 14, 29–32 (1977). https://doi.org/10.1007/BF02194652

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  • DOI: https://doi.org/10.1007/BF02194652

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