島根大学文理学部紀要. 理学科編

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島根大学文理学部紀要. 理学科編 10
1976-12-20 発行

帯の融合積

Free Products with Amalgamation of Bands
今岡 輝男
ファイル
内容記述(抄録等)
ln this paper, we shall study the question of whieh classes of bands have the strong or the special amalgamation properties. Let A be the variety of bands defined by an identity P = Q. Then A has the strong amalgamation property if and only if P = Q is a permutation identity or heterotypical identity. Moreover, we shall show that the varieties of [left, right] regular bands and left [right] quasinormal bands have the special amalgamation property.