摘要
证明了两个纯整（ｏｒｔｈｏｄｏｘ）半群（广义左、右可逆半群、广义可逆半群）的融和，在融和核是绝对闭子半群时，可嵌入到一个纯整半群（广义左、右可逆半群，广义可逆半群）中去。同时证明了Ｃｌｉｆｆｏｒｄ半群的融和亦是可嵌入到Ｃｌｉｆｆｏｒｄ半群中去，从而部分解决了Ｔ·ＥＨａｌｌ在［１］中提出的一个ｏｐｅｎ问题。
This paper proved respectively that the amalgamation of two orthodox semi-groups, two generized left(right )inverse semigroups and two generized inverse semigroups canrespectively be embedded into an orthodox semigroup,a generized left(right) inverse semigroupand a generized inverse semigroup if the amalgamation core is absIoutely closed. t also provedthat the amalgamation of two Clifford semigroups can be embedded into a Clifford semigroup,which partly solved the open problem posed by T. E Hall in[1]。
出处
《山东师范大学学报（自然科学版）》
CAS
1995年第2期132-135,共4页
Journal of Shandong Normal University(Natural Science)
关键词
纯整半群
广义
可逆半群
融合
半群
orthodox semigroup
generized inverse semigroup
semigroup amalgamation
