| 基于可减的半实半环与半实素理想 |
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| 引用本文： | 敖忠平,陈培慈,蔡述平. 基于可减的半实半环与半实素理想[J]. 江西师范大学学报(自然科学版), 2009, 33(5) |
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| 作者姓名： | 敖忠平 陈培慈 蔡述平 |
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| 作者单位： | 广州石油大学,计算机科学系,广东,广州,510510;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： | 江西省自然科学基金,江西省教育厅科研基金 |
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| 摘 要： | 利用实代数理论及半环理论,刻画了可减半环类中的半实半环和半实理想,得到了R是基于可减的半实半环的几个等价刻画.
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| 关 键 词： | 可减子集 可减半环 半实半环 半实理想 |
Semireal Semiring Based on Being Subtractive and Semireal Prime Ideals |
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| AO Zhong-ping,CHEN Pei-ci,CAI Shu-ping. Semireal Semiring Based on Being Subtractive and Semireal Prime Ideals[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2009, 33(5) |
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| Authors: | AO Zhong-ping CHEN Pei-ci CAI Shu-ping |
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| Affiliation: | AO Zhong-Ping 1,CHEN Pei-ci2,CAI Shu-ping1 (1.Department of Computer Science,Guangzhou University of Petroleum,Guangzhou 510510,China,2.Institute of Mathematics , Informatics,Jiangxi Normal University,Nanchang 330022,China) |
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| Abstract: | By the theory of real algebra and theory of semirings,semireal semirings and semireal ideals are descripted in the class of subtractive semirings.Some equivalence descriptions of the semireal semirings based on the subtractive subset are given. |
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| Keywords: | subtractive subset subtractive semiring semireal semiring semireal ideals |
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