Mohammed Ali Faya Ibrahim, Mathematics Department, College of Sciences, King Khalid University, P.O.Box 2060, Abha, Saudi Arabia e-mail: mfaya2000@yahoo.com
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.
Keywords: semicommutative semigroups, maher semigroups, ordered semigroups
Classification (MSC 2000): 06F05
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