ON NONCOMMUTATIVE VNL-RINGS AND GVNL-RINGS

ON NONCOMMUTATIVE VNL-RINGS AND GVNL-RINGS
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DOI:
10.1017/s0017089505002806
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发表时间:
2006-01
影响因子:
0.5
通讯作者:
Weixing Chen;W. Tong
Weixing Chen;W. Tong
中科院分区:
数学4区
文献类型:
--
作者:
Weixing Chen;W. Tong

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证明了交换VNL-环是SVNL-环,从而肯定地回答了Osba等[7]的一个问题.给出了duo VNL-环的一些刻画,并将Osba等[7]关于交换VNL-环的一些主要结果推广到右duo VNL-环乃至交换GVNL-环.
It is proved that every abelian VNL-ring is an SVNL-ring, which gives a positive answer to a question of Osba et al. [7]. Some characterizations of duo VNL-rings are given and some main results of Osba et al. [7] on commutative VNL-rings are extended to right duo VNL-rings and even abelian GVNL-rings.