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一类IC拟适当半群
引用本文:郭小江. 一类IC拟适当半群[J]. 昆明师范高等专科学校学报, 2001, 23(4): 8-11
作者姓名:郭小江
作者单位:云南大学数学系,云南昆明650091
基金项目:theNationalNaturalScienceFoundationofChina(10 0 710 68),theNaturalScienceFoundationofYunnanProvince (99A0 0 0 1R),theEducationCommitteeFoundationofYunnanProvince(0 0 110 89),TheFoundationofYunnanUniversity .
摘    要:研究一类IC拟适当半群,即所谓的超拟适当半群。得到了这类半群的若干特征,特别地,建立了超拟适当半群类似于纯正半群的Hall—Yamada结构一种构造方式。最后,考虑了一种特殊情况。

关 键 词:IC拟适当半群 富足半群 带 C-a半群 纯正半群 构造方式 超拟适当半群

A class of Idempotent-connected quasi - adequate Semigroups
Abstract. A class of Idempotent-connected quasi - adequate Semigroups[J]. Journal of Kunming Teachers College, 2001, 23(4): 8-11
Authors:Abstract
Abstract:The aim of this paper is to study a class of idempotent-connected quasi-adequate semigroups,so-called super quasi-adequate semigroups.Several characterization of super quasi-adequate semigroups are obtained.In particular,a construction similar to the Hall-Yamada construction for orthodox semigroups is established.Finally,it is proved that a semigroup is a strong super quasi-adequate semigroup if and only if it is isomorphic to the spined product of a band and a C-a semigroup.
Keywords:abundant semigroup  IC quasi-adequate semigroup  band  C-a semigroup
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