| 关于矩形带和周期群的半格 |
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| 引用本文： | 梅永刚. 关于矩形带和周期群的半格[J]. 纺织高校基础科学学报, 2016, 0(3): 291-293. DOI: 10.13338/j.issn.1006-8341.2016.03.003 |
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| 作者姓名： | 梅永刚 |
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| 作者单位： | 西安邮电大学 学生处,陕西 西安,710121 |
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| 基金项目： | 陕西省自然科学基金资助项目(2015J1020) |
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| 摘 要： | 运用Clifford半群的结构研究矩形带和周期群的半格的性质和结构,给出矩形带和周期群的半格的等价刻画.所得结果推广了关于矩形带和满足附加恒等式x2+1≈x的群的半格的刻画.
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| 关 键 词： | 完全正则半群 周期群 半格 |
Semilattices of rectangular bands and periodic groups |
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| Abstract: | By using the structure of Clifford semigroups,some properties of semilattices of rec-tangular bands and periodic groups are studied.The equivalent characterizations of semilattices of rectangular bands and periodic groups are characterized and some results on semilattices of rectangular bands and groups satisfying x2+1≈x are enriched and extended. |
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| Keywords: | completely regular semigroup periodic group semilattice |
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