Group identities and prime rings generated by units

Tsiu Kwen Lee; Chia Hsin Liu

doi:10.1081/AGB-120022227

Group identities and prime rings generated by units

Tsiu Kwen Lee
, Chia Hsin Liu^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.

原文	英語
頁（從 - 到）	3305-3309
頁數	5
期刊	Communications in Algebra
卷	31
發行號	7
DOIs	https://doi.org/10.1081/AGB-120022227
出版狀態	已發佈 - 2003 7月

ASJC Scopus subject areas

代數與數理論

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10.1081/AGB-120022227

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@article{dc891e7fc7514c67b4f9e42b43fa3255,

title = "Group identities and prime rings generated by units",

abstract = "Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.",

keywords = "Generalized polynomial identities, Group identities, Prime rings, Units",

author = "Lee, \{Tsiu Kwen\} and Liu, \{Chia Hsin\}",

note = "Funding Information: The work was partially supported by NSC. The second author thanks National Sun Yat-sen University. Part of the research was done there.",

year = "2003",

month = jul,

doi = "10.1081/AGB-120022227",

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volume = "31",

pages = "3305--3309",

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T1 - Group identities and prime rings generated by units

AU - Lee, Tsiu Kwen

AU - Liu, Chia Hsin

N1 - Funding Information: The work was partially supported by NSC. The second author thanks National Sun Yat-sen University. Part of the research was done there.

PY - 2003/7

Y1 - 2003/7

N2 - Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.

AB - Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.

KW - Generalized polynomial identities

KW - Group identities

KW - Prime rings

KW - Units

UR - https://www.scopus.com/pages/publications/0042473892

UR - https://www.scopus.com/pages/publications/0042473892#tab=citedBy

U2 - 10.1081/AGB-120022227

DO - 10.1081/AGB-120022227

M3 - Article

AN - SCOPUS:0042473892

SN - 0092-7872

VL - 31

SP - 3305

EP - 3309

JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -

Group identities and prime rings generated by units

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