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乘法半群为左正规纯正群的半环(PDF)

《纯粹数学与应用数学》[ISSN:1008-5513/CN:61-1240/O1]

期数:
2010年01期
页码:
146
栏目:
出版日期:
2010-01-15

文章信息/Info

Title:
Semirings for which multiplicative reducts are left normal orthogroups
作者:
杨琳 邵勇
(西北大学数学系, 陕西西安710127)
Author(s):
YANG Lin SHAO Yong
(Department of Mathematics, Northwest University, Xi'an 710127, China)
关键词:
半群 半环 左正规纯正群 半格 偏序关系
Keywords:
semigroup semiring left normal orthogroup semilattice partial order relation
分类号:
O152.7
DOI:
-
文献标识码:
A
摘要:
研究了加法半群为半格, 乘法半群为左正规纯正群的半环.证明了此类半 环(S; +; ¢) 可以嵌入到半格(S; +)的自同态半环中. 构造S的一个特定的偏序关系, 得 到了(S; ¢)上的自然偏序与所构造偏序相等的等价条件.
Abstract:
In this paper, the semirings for which additive reducts are semilattices and multiplicative reducts are left normal orthogroups are studied. That semiring (S; +; ¢) is embedded into the endomorphism semiring of the semilattice (S; +) is proved. The partial order relation on semiring S is constructed and the equivalent condition in order to the natural order on multiplicative reduct of semiring S is equivalent to the constructed partial order on semiring S is obtained.

参考文献/References

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2010-01-15