| 满足a+ab=a+b的幂等半环的结构 |
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| 引用本文： | 张璇.满足a+ab=a+b的幂等半环的结构[J].数学理论与应用,2002(3). |
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| 作者姓名： | 张璇 |
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| 作者单位： | 山东师范大学数学系 济南 250014 |
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| 摘 要： | 本文讨论了满足a+ab=a+b的幂等半环的结构,给出这种幂等半环是左零半环的伪强右正规幂等半环,并得出这种幂等半环与环的直积是左环的伪强右正规幂等半环.
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| 关 键 词： | (?)半环 左零半环 左环 左零半环的伪强右正规幂等半环 |
STRUCTURE OF IDEMPOTENT SEMIRING WHICH SATISFIES THE IDENTITY a+ab=a+b |
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| Zhang Xuan.STRUCTURE OF IDEMPOTENT SEMIRING WHICH SATISFIES THE IDENTITY a+ab=a+b[J].Mathematical Theory and Applications,2002(3). |
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| Authors: | Zhang Xuan |
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| Abstract: | In this paper,we discuss the stucture of the idempotent semiring,which satisfies the identity a+ab = a+b. and this kind of idempotent semiring is a pseudo-strong right normal idempotent semiring of left zero semirings,This result gets the characterization of the direct product of this kind of idempotent sermiring and a ring as a pseudo-strong right normal idempotent semiring of left rings. |
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| Keywords: | C-semiring left zero semiring left ring pseudo-strong right normal idempotent semiring of left zero semirings |
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