| 具有乘适当断面无交并性质的富足半群 |
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| 引用本文： | 刘海军,郭小江. 具有乘适当断面无交并性质的富足半群[J]. 数学研究及应用, 2013, 33(3): 312-320 |
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| 作者姓名： | 刘海军 郭小江 |
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| 作者单位： | 江西师范大学数学与信息科学学院，江西 南昌 330022;江西师范大学数学与信息科学学院，江西 南昌 330022 |
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| 基金项目： | 国家自然科学基金 (Grant No.10961014), 江西省自然科学基金 (Grant No.2014BAB201009), 江西省教育厅科学基金 (Grant No.GJJ11388). |
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| 摘 要： | 本文主要研究了具有乘适当断面无交并性质的富足半群的若干性质，并证明了半群为具有乘适当断面无交并性质的富足半群当且仅当它是一个矩形带和适当半群的直积。
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| 关 键 词： | 富足半群 适当断面 乘适当断面 (左,右)正规带. |
| 收稿时间： | 2011-12-20 |
| 修稿时间： | 2012-03-01 |
Abundant Semigroups Which Are Disjoint Unions of Multiplicative Adequate Transversals |
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| Haijun LIU and Xiaojiang GUO. Abundant Semigroups Which Are Disjoint Unions of Multiplicative Adequate Transversals[J]. Journal of Mathematical Research with Applications, 2013, 33(3): 312-320 |
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| Authors: | Haijun LIU and Xiaojiang GUO |
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| Affiliation: | 1. The Second Technician Institute of Shaoguan, Guangdong 512031, P. R. China
2. Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P.R.China |
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| Abstract: | The aim of this paper is to study abundant semigroups which are disjoint unions of multiplicative adequate tranversals. After obtaining some properties of such semigroup, we prove that a semigroup is a disjoint union of multiplicative adequate transversals if and only if it is isomorphic to the direct product of a rectangular band and an adequate semigroup. |
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| Keywords: | abundant semigroup adequate transversal multiplicative adequate transversal [left right] normal band. |
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