| 分式半环及性质 |
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| 引用本文： | 谢蓓蓓. 分式半环及性质[J]. 南阳师范学院学报, 2002, 1(6): 8-11 |
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| 作者姓名： | 谢蓓蓓 |
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| 作者单位： | 山东师范大学,数学系,山东,济南,250014 |
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| 摘 要： | 在交换半环与其乘法集合的卡氏积上定义了一种等价关系，从而构造了一类新的交换半环－分式半环。讨论了交换半环与其分式半环之间的关系，刻划了分式半环的泛性质。最后，在两个可换可消半群的直积上定义相同的关系，证得该关系为群同余，并得到相近的结果。
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| 关 键 词： | 分式半环 性质 交换半环 同态 同余 可消半群 嵌入映射 半环理论 |
| 文章编号： | 1671-6132(2002)06-0008-04 |
Fractional Semiring and Properties |
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| XIE Bei bei. Fractional Semiring and Properties[J]. Journal of Nanyang Teachers College, 2002, 1(6): 8-11 |
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| Authors: | XIE Bei bei |
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| Abstract: | In this paper,we first defined a kind of equiva lence r elation on the cartersian product of commutative semiring and multiplicative set ,furthermore,we structured a new kind of commutative semiring,namely fractional semiring.We discussed the relation between commutative semiring and fractional s emiring,then we characterized the universal property of fractional semiring.In t he end,we defined the same relation on the direct product of two commutative ca ncellable semigroups,then proved this relation is group conngruence.A similar re sult is found. |
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| Keywords: | communtative semiring fractional semiring morphism conngruence canncellable semi group embedding map |
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