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题名: The finite basis property of a certain semigroup of upper triangular matrices over a field
作者: Chen, YZ; Hu, X; Luo, YF
收录类别: SCIE
出版日期: 2016-11
刊名: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
卷号: 15, 期号:1-9
出版者: WORLD SCIENTIFIC PUBL CO PTE LTD
出版地: SINGAPORE
英文摘要: Let UTn(F) be the semigroup of all upper triangular nxn matrices over a field F whose main diagonal entries are 0s and/or 1s. Volkov proved that UT3(R) is nonfinitely based as both a plain semigroup and an involution semigroup under the reflection with respect to the secondary diagonal. In this paper, we shall prove that UT2(F) is finitely based for any field F. When F = R, this result partially answers an open question posed by Volkov.
关键词: Upper triangular matrices ; identities ; finitely based ; finite basis problem
作者部门: [Chen, Yuzhu ; Hu, Xun ; Luo, Yanfeng] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China ; [Hu, Xun] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400033, Peoples R China
通讯作者: Luo, YF (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
学科分类: Mathematics
文章类型: Article
所属项目编号: Natural Science Foundation of China [11371177, 11401275]
所属项目名称: 国家自然科学基金项目
项目资助者: NSFC
语种: 英语
DOI: 10.1142/S0219498816501772
ISSN号: 0219-4988
WOS记录号: WOS:000383799800019
IR记录号: WOS:000383799800019
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内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/189079
Appears in Collections:数学与统计学院_期刊论文

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Recommended Citation:
Chen, YZ,Hu, X,Luo, YF. The finite basis property of a certain semigroup of upper triangular matrices over a field[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS,2016,15(1-9).
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