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On the Embedding of Ordered Semigroups into Ordered Group

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Abstract

It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of L-maher and R-maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered L or R-maher semigroup can be embedded into an ordered group.

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References

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Authors and Affiliations

  1. Mathematics Department, College of Sciences, King Khalid University, P.O.Box 2060, Abha, Saudi Arabia

    Mohammed Ali Faya Ibrahim

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  1. Mohammed Ali Faya Ibrahim
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Ibrahim, M.A.F. On the Embedding of Ordered Semigroups into Ordered Group. Czechoslovak Mathematical Journal 54, 303–313 (2004). https://doi.org/10.1023/B:CMAJ.0000042370.19396.22

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  • DOI: https://doi.org/10.1023/B:CMAJ.0000042370.19396.22

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