陈维新.Г-环的单位元[J].数学研究及应用,1991,11(3):319~324 |
Г-环的单位元 |
On the Unity in Γ-rings |
投稿时间:1989-09-03 |
DOI:10.3770/j.issn:1000-341X.1991.03.001 |
中文关键词: |
英文关键词: |
基金项目:浙江省自然科学基金资助的课题. |
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中文摘要: |
Γ-环的乘法单位元比结合环的乘法单位元更复杂,更富有变化.首先它有单位元,α-单位元(强单位元)之分,其次它具有与结合环单位元相异的性质,对此本文逐一阐述.此外还探讨了Γ-环M与其矩阵环Mm,n单位元间的关系.在导入Γ-环的特征这一概念后,证明了具有单位元Γ-环的特征的一些性质. |
英文摘要: |
The unity for multiplication in Γ-rings is more complicated and changeful than that in associative rings. First it is classified to be unity or a-unity (strong unity). Secondly it possesses different properties with that in associative rings. These properties are expounded in this paper. The relation between the unities in Γ-ring M and in its matrix ring Mm,n is studied. This relation has feature of Γ-rings too. Lastly the characteristic chM of Γ-ring M is introduc-ed, Some properties of chM are proved for M with unities. |
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