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因子拟适当半群(英文)
引用本文:彭婷婷,郭小江.因子拟适当半群(英文)[J].数学季刊,2011(1):93-99.
作者姓名:彭婷婷  郭小江
作者单位:Department of Mathematics;Jiangxi Vocational and Technical College of Communication;Jiangxi Normal University;
基金项目:Supported by the NSF of Jiangxi Province(0511037)
摘    要:In this paper,we investigate a class of factorisable IC quasi-adequate semigroups,so-called,factorisable IC quasi-adequate semigroups of type-(H,I).Some characterizations of factorisable IC quasi-adequate semigroups of type-(H,I) are obtained.In particular,we prove that any IC quasi-adequate semigroup has a factorisable IC quasi-adequate subsemigroups of type-(H,I) and a band of cancellative monoids.

关 键 词:factorisable  semigroup  IC  quasi-adequate  semigroup  factorisable  abundant  semigroups  of  type-(H  I)

Factorisable Quasi-adequate Semigroups
PENG Ting-ting,GUO Xiao-jiang.Factorisable Quasi-adequate Semigroups[J].Chinese Quarterly Journal of Mathematics,2011(1):93-99.
Authors:PENG Ting-ting  GUO Xiao-jiang
Institution:PENG Ting-ting~1,GUO Xiao-jiang~2(1.Department of Mathematics,Jiangxi Vocational and Technical College of Communication,Nanchang 330013,China,2.Department of Mathematics,Jiangxi Normal University,Nanchang 330022,China)
Abstract:In this paper,we investigate a class of factorisable IC quasi-adequate semigroups,so-called,factorisable IC quasi-adequate semigroups of type-(H,I).Some characterizations of factorisable IC quasi-adequate semigroups of type-(H,I) are obtained.In particular,we prove that any IC quasi-adequate semigroup has a factorisable IC quasi-adequate subsemigroups of type-(H,I) and a band of cancellative monoids.
Keywords:factorisable semigroup  IC quasi-adequate semigroup  factorisable abundant semigroups of type-(H  I)  
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