Abstract
In 1927 0. Schreier [19] showed that a group amalgam is always embeddable in a group. In 1957 N. Kimura ([lS]; see also [4]) showed that a semigroup amalgam cannot always be embedded in a semigroup. The semigroup amalgams were first studied extensively by J. M. Howie ([g-13]; see also [4, 143). In 1975 T. E. ‘Hall [6] showed that Schreier’s theorem extends to the class of inverse semigroups. G. B. Preston [16] has shown that T. E. Hall’s method yields a new proof of Howie’s result concerning amalgamation over unitary subsemigroups. Short proofs of results in [16] are due to T. E. Hall [7], In the present paper we give a new proof of J. M. Howie’s result concerning amalgamation over unitary subsemigroups. This proof is based on R. Baer’s results [l-3].
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