| 关于强平坦序左S-系是I-正则系的序幺半群 |
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| 引用本文： | 文海存,乔虎生. 关于强平坦序左S-系是I-正则系的序幺半群[J]. 山东大学学报(理学版), 2016, 51(8): 35-38. DOI: 10.6040/j.issn.1671-9352.0.2015.351 |
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| 作者姓名： | 文海存 乔虎生 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11461060) |
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| 摘 要： | 设S是序幺半群。证明了所有强平坦的序左S-系是I-正则的当且仅当S是左PSF且左半完全的序幺半群,亦等价于S是左PP序幺半群且满足性质(FP2)。此外,给出了关于每个I-正则序左S-系满足条件(P)的序幺半群的刻画。
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| 关 键 词： | 强平坦 I-正则 序S-系 |
| 收稿时间： | 2015-07-15 |
Pomonoids over which all strongly flat left S-posets are I-regular |
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| WEN Hai-cun,QIAO Hu-sheng. Pomonoids over which all strongly flat left S-posets are I-regular[J]. Journal of Shandong University, 2016, 51(8): 35-38. DOI: 10.6040/j.issn.1671-9352.0.2015.351 |
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| Authors: | WEN Hai-cun QIAO Hu-sheng |
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| Affiliation: | Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Let S be a pomonoid. All strongly flat left S-posets are I-regular if and only if S is a left PSF and left semiperfect pomonoid are presented. It is also equivalent with S is a left PP pomonoid, and satisfying property(FP2). Furthermore, pomonoids over which every I-regular left S-poset satisfying Condition(P)are characterized. |
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| Keywords: | strongly flat I-regular S-poset |
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