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島根大学理学部紀要 Volume 12
published_at 1978-12-20
一般化された逆半群の融合の埋め込みについて
The Embedding of Generalized Inverse Semigroup Amalgams
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Let [ {S_1, S_2} ; U:] be a [left, right] generalized inverse semigroup amalgam. In [4], theauthor has shown that the amalgam is embedded in a [left, right] generalized inverse semigroupif S_1 is isomorphic to S_2. In this paper, we shall give a sufficient condition for the amalgamto be embedded in a [left, right] generalized inverse semigroup. Further, we shalll consider theembedding of [left, right] normal band amalgams. The notation and terminologies are thoseof [1] and [5], unless otherwise stated.
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