| L-星半环 |
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| 引用本文： | 甘爱萍,姜样兰,黄福生. L-星半环[J]. 江西师范大学学报(自然科学版), 2010, 34(2) |
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| 作者姓名： | 甘爱萍 姜样兰 黄福生 |
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| 作者单位： | 1. 江西师范大学数学与信息科学学院,江西,南昌,330022
2. 江西公安专科学校,江西,南昌,330103 |
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| 基金项目： | 江西省自然科学基金，江西省教育厅科研计划项目 |
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| 摘 要： | 利用格理论和半环理论,研究了L-星半环、加法可消L-星半环和自然L-星半环等的性质,以及L-星半环与格星半环和正星半环之间的联系和区别,得到了与L-半环类似的2个定理.
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| 关 键 词： | L-星半环 加法可消L-星半环 自然L-星半环 |
L-Star Semirings |
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| GAN Ai-ping,JIANG Yang-lan,HUANG Fu-sheng. L-Star Semirings[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2010, 34(2) |
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| Authors: | GAN Ai-ping JIANG Yang-lan HUANG Fu-sheng |
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| Affiliation: | GAN Ai-ping1,JIANG Yang-lan2,HUANG Fu-sheng1(1.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China,2.Jiangxi People's Police College,Nanchang Jiangxi 330103,China) |
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| Abstract: | By the theory of lattice and theory of semirings,some properties of L-star semirings,L-star semirings which satisfied the cancellation law of addition and nature L-star semirings are studied.And the relations and the differences between L-star semirings,Lattice-star semirings and positive-star semirings are discussed.At last,analogous results with l-semirings are obtained. |
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| Keywords: | L-star semirings L-star semirings which satisfied the cancellation law of addition nature L-star semirings |
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