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EP元与方程的解(
)
《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]
- 卷:
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第42卷
- 期数:
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2019年01期
- 页码:
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20
- 栏目:
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·数学·
- 出版日期:
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2019-03-20
文章信息/Info
- Title:
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EP Elements and Solutions of Equations
- 文章编号:
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1001-4616(2019)01-0020-03
- 作者:
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李德才1; 2; 史丽妍1; 魏俊潮1
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(1.扬州大学数学科学学院,江苏 扬州 225002)(2.扬州市职业大学科技处,江苏 扬州 225009)
- Author(s):
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Li Decai1; 2; Shi Liyan1; Wei Junchao2
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(1.School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)(2.Science and Technology Department,Yangzhou Polytechnic College,Yangzhou 225009,China)
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- 关键词:
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- Keywords:
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- 分类号:
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O153; O154
- DOI:
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10.3969/j.issn.1001-4616.2019.01.004
- 文献标志码:
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A
- 摘要:
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证明了如下结论:设a∈R#∩R+,则1)a∈REP当且仅当方程axa*=a*xa在χa中有解; 2)a∈REP当且仅当方程a#xa*=a+xa*在χa中至少有两个解,其中χa={a,a#,a+,a*,(a#)*,(a+)*}.
- Abstract:
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In this paper,some characterizations of EP elements are given. The main results are as follows:let a∈R#∩R+. then 1)a∈REP if and only if the equation axa*=a*xa has at least one solution in χa; 2)a∈REP if and only if the equation a#xa*=a+xa* has at least two solutions in χa,where χa={a,a#,a+,a*,(a#)*,(a+)*}.
更新日期/Last Update:
2019-03-30