| 正规密码o-超富足半群的结构 |
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| 引用本文： | 陈益智,潘庆年.正规密码o-超富足半群的结构[J].纯粹数学与应用数学,2010,26(6):957-963. |
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| 作者姓名： | 陈益智 潘庆年 |
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| 作者单位： | 广东惠州学院数学系,广东惠州516007;西北大学数学系,陕西西安710127;广东惠州学院数学系,广东惠州,516007 |
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| 基金项目： | 广东省自然科学基金，广东惠州学院校立基金 |
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| 摘 要： | 证明了ο-超富足半群S是正规密码ο-超富足半群当且仅当它是完全Jο-单半群的强半格.该结果也是正规密码超富足半群和正规密码群并半群分别在超富足半群和完全正则半群上的相应结构定理的推广。
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| 关 键 词： | o-格林关系 正规密码o-超富足半群 完全J°-单半群 强半格 |
A construction of normal crypto o- superabundant semigroups |
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| CHEN Yi-zhi,PAN Qing-nian.A construction of normal crypto o- superabundant semigroups[J].Pure and Applied Mathematics,2010,26(6):957-963. |
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| Authors: | CHEN Yi-zhi PAN Qing-nian |
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| Institution: | 1.Department of Mathematics,Huizhou University,Huizhou 516007,China;2.Department of Mathematics,Northwest University,Xi’an 710127,China) |
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| Abstract: | In this paper,a new construction theorem of normal crypto ο-abundant semigroups is given,i.e.,an ο-abundant semigroup is a normal crypto ο-abundant semigroup if and only if it is a strong semilattice of completely Jο-simple semigroups.Actually,the main result in this paper is a generalization of the corresponding ones of normal crypto semigroups and normal cryptogroups in superabundant and completely regular semigroups respectively. |
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| Keywords: | Green’s ο-relations normal crypto ο-abundant semigroups completely Jο-simple semigroups strong semilattice |
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