Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences

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Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences 4
1971-03-15 発行

Inversive Semigroupsの構成について

Construction of Inversive Semigroups
Yamada, Miyuki
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Description
This is a supplement to the previous papers [5] and [6] of the author in which the structure of strictly regular semigroups has been clarified. By using the results of [5], [6], at first we shall show how to construct every inversive semigroup. Secondly in the latter half of the paper we shall investigate the relations between quasi-direct products and spined products, and give another proof for the structure theorem for strictly inversive semigroups which has been established in the previous paper [4]. Any notation and terminology should be referred to [5], [6], unless otherwise stated.