| 用禁止子半群刻画带簇的一个真子簇 |
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| 引用本文： | 王丹,王正攀. 用禁止子半群刻画带簇的一个真子簇[J]. 山东大学学报(理学版), 2018, 53(10): 6-8. DOI: 10.6040/j.issn.1671-9352.0.2018.077 |
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| 作者姓名： | 王丹 王正攀 |
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| 作者单位： | 西南大学数学与统计学院, 重庆 400715 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助项目(XDJK2016B038) |
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| 摘 要： | 由等式［x3x1x2=x3x1x2x3x2x1x2］定义的左半正则带簇是带簇的一个重要的真子簇, 现有文献已用2个禁止子半群对其进行了刻画。在此基础上, 用相关的禁止子半群刻画了带簇的一个新的真子簇［x4x2x1x3=x4x2x1x3x4x2x3x2x1x3］。
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| 关 键 词： | 禁止子半群 簇 带 |
| 收稿时间： | 2018-03-03 |
Characterizing a band variety in terms of forbidden subsemigroups |
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| WANG Dan,WANG Zheng-pan. Characterizing a band variety in terms of forbidden subsemigroups[J]. Journal of Shandong University, 2018, 53(10): 6-8. DOI: 10.6040/j.issn.1671-9352.0.2018.077 |
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| Authors: | WANG Dan WANG Zheng-pan |
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| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | The left semiregular band variety defined by the equation ［x3x1x2=x3x1x2x3x2x1x2］ is an important proper subvariety of band variety. The variety is described in terms of two prohibited subsemigroups by the existing literature. Based on that, a new proper subvariety ［x4x2x1x3=x4x2x1x3x4x2x3x2x1x3］ of band varieties is characterized by relevant prohibited subsemigroups. |
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| Keywords: | variety band prohibited subsemigroup |
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