Memoirs of the Faculty of Science, Shimane University

Faculty of Science, Shimane University

ISSN:0387-9925

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Memoirs of the Faculty of Science, Shimane University 21

1987-12-25 発行

一般化された逆[*-]半群の自由積と融合

Free Products and Amalgamation of Generalized Inverse [*-]Semigroups

Imaoka, Teruo

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The author showed that the class of [left, right] nonnal bands has the stong amalgamation property [4]. In his paper [1], T. E. Hall proved that the class of [left, right] generalized inverse semigroups has the strong amalgamation property by using the concept of a bundled semilattice which is firstly introduced in [7]. By similar argument, we show that the classes of normal *-bands and generalized inverse *-semigroups have the strong amalgamation property. Also we give the structures of normal *-bands and generalized inverse *-semigroups and the free products in the variety of normal *-bands.

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c0010021r006.pdf 1.49 MB

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Free Products and Amalgamation of Generalized Inverse [*-]Semigroups/

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