On the Embedding of Ordered Semigroups into Ordered Group |
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| Authors: | Mohammed Ali Faya Ibrahim |
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| Institution: | (1) Mathematics Department, College of Sciences, King Khalid University, P.O.Box 2060, Abha, Saudi Arabia |
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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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| Keywords: | semicommutative semigroups maher semigroups ordered semigroups |
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