| 某种幂等半环的结构 |
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| 引用本文： | 张璇. 某种幂等半环的结构[J]. 山东科学, 2005, 18(1): 8-11,23 |
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| 作者姓名： | 张璇 |
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| 作者单位： | 山东财政学院数学系,山东,济南,250014 |
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| 摘 要： | 构造了L半环的伪强右正规幂等半环的结构，证明了、R-幂等关环是正规幂等半环，当且仅当它是左零半环的伪强右正规幂等半环，得出这类幂等关环与环的直积是左环的伪强半格幂等关环及相关结论。
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| 关 键 词： | 左零半环 左环 A-幂等半环 左零半环的伪强右正规幂等半环 |
| 文章编号： | 1002-4026(2005)01-0008-04 |
Structure of some idempotent semirings |
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| ZHANG Xuan. Structure of some idempotent semirings[J]. Shandong Science, 2005, 18(1): 8-11,23 |
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| Authors: | ZHANG Xuan |
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| Abstract: | In this paper,we construct the structure of the pseudo-strong right normal idempotent semiring of C-semirings,and then an A-idempotent semiring is a normal idempotent semiring,if and only if it is a pseudo-strong right (normal) idempotent semiring of left zero semirings.This result last gets the characterization of the direct product of left normal A-idempotent semiring and a ring as a pseudo-strong semilattice idempotent semiring of left rings,and some corollaries. |
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| Keywords: | left zero semiring left ring A-idempotent semiring pseudo-strong right normal idempotent semiring of left zero semirings |
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