| h-半正则子半环与模糊h-半正则子半环 |
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| 引用本文： | 陈桂英. h-半正则子半环与模糊h-半正则子半环[J]. 鲁东大学学报, 2013, 0(2): 97-100 |
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| 作者姓名： | 陈桂英 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 国家自然科学基金（10871117）;聊城大学基金资助项目（X071042） |
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| 摘 要： | 通过在半环上引入元素的h-半正则子集,给出h-半正则子半环和模糊h-半正则子半环的定义,利用模糊子集的水平截集讨论了两个概念之间的关系.证明了h-半正则子半环(模糊h-半正则子半环)在同态满射下的象还是h-半正则子半环(模糊h-半正则子半环),而在同构映射下的逆象仍为h-半正则子半环(模糊h-半正则子半环).最后给出了h-半正则子半环和模糊h-半正则子半环的等价刻划.
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| 关 键 词： | 半环 h-半正则子集 h-半正则子半环 模糊h-半正则子半环 |
--h-hemiregular Subhemiring and Fuzzy h-hemiregular Subhemiring |
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| CHEN Gui-ying. --h-hemiregular Subhemiring and Fuzzy h-hemiregular Subhemiring[J]. Ludong University Journal (Natural Science Edition), 2013, 0(2): 97-100 |
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| Authors: | CHEN Gui-ying |
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| Affiliation: | CHEN Gui-ying (School of Mathematics and Science, Liaocheng University, Liaocheng 252059, China) |
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| Abstract: | The concepts of h-hemiregular subhemiring and fuzzy h-hemiregular subhemiring are introduced by the h-hemiregular subset of the elements in a hemiring, and the relationship between the two concepts is dis- cussed, It is proved that the image of a h-hemiregular subhemiring （ fuzzy h-hemiregular subhemiring） under an epimorphism is also a h-hemiregular subhemiring （fuzzy h-hemiregular subhemiring） and the inverse image of a h-hemiregular subhemiring （fuzzy h-hemiregular subhemiring） under an isormorphsm is still a h-hemireg- ular subhemiring （fuzzy h-hemiregular subhemiring）. Finally,the equivalent conditions for h-hemiregular sub- hemiring and fuzzy h-hemiregular hemiring are given. |
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| Keywords: | hemiring h-hemiregular subset h-hemiregular subhemiring fuzzy h-hemiregular subhemiring |
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