1) Graded Baer ring
分次Baer环
2) graded quasi Baer ring
分次拟Baer环
3) Baer ring
Baer环
1.
Extension of (Quasi)-Baer Rings;
（Quasi）-Baer环的扩展
2.
It is proved that if R is a σ rigid ring and()_ZR is torsion free,then R is a Baer ring if and only if the ring of skew Hurwitz series over R is a Baer ring,and R is a Clean ring if and only if the ring of skew Hurwitz series over R is a Clean ring.
我们证明了:(1)如果R是σ刚性环并且ZR无挠,则R是Baer环当且仅当R上的斜Hurwitz级数环T是Baer环;(2)R是Clean环当且仅当R上的斜Hurwitz级数环T是Clean环。
3.
Based on the fact that an AP-injective ring satisfies the C_2 condition, conditions for an AP-injective ring to satisfy C_1 condition were found, then its continuity was deduced by combining with Baer ring, duo ring, semiperfect ring, MI-ring and so on.
在AP-内射环满足C2条件的基础上,结合Baer环、duo环、半完全环、MI环等,探索了何时AP-内射环也满足C1条件,从而成为连续环,得到了一些相关结果:(1)设R是左AP-内射、左duo环,若R又是局部Baer环,则R是左连续环;(2)设R=i∈IRi是左AP-内射环,其中Ri是一致左理想,若R是Baer环且左duo,则R是左连续环;(3)设R是左AP-内射、左duo环,若R又是半完全的Baer环,则R是左连续环;(4)设R是左AP-内射环,RR是弱内射的,则R是左连续环;(5)设R是左AP-内射、左MI环,则R是左连续环。
4) Baer*-ring
Baer*-环
5) Baer-Ring
Baer-环
6) quasi Baer ring
拟Baer环
补充资料：分次
1.分定等次或位次。 2.指分为几次。 3.星辰运行的度次。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条