- 更多网络例句与右零化子相关的网络例句 [注:此内容来源于网络,仅供参考]
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Theorem 2.2.44 Let R be a reduced left morphic ring, if R satisfies ascending chain condition on right annihilators, then every maxmal left ideal of R is a direct summmand of R.
定理2.2.44设R是约化的左morphic环,若R对右零化子满足升链条件,则R的每一个极大左理想L都是R的一个直和项。
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Finally, it investigate QF-ring with right gpm-injective, and obtain the following theorem:Theorem The following statements are equivalent:(1) R is quasi-Frobeniusean ring:(2) R is right noetherian, left pm-injective ring, right pm-injective ring;(3) R is right noetherian, left pm-injective ring, right GP-injective ring;(4) R is right noetherian, left gpm-injective ring, right gpm-injective ring;(5) R is right noetherian, right gpm-injective ring and each right minimal ideal is right annihilator.
最后用右gpm-内射对QF环进行研究,得到了如下定理:定理下列条件等价:(1) R是quasi-Frobeniusean环;(2) R是右Noether,左pm-内射环,右pm-内射环:(3) R是右Noether,左pm-内射环,右GP-内射环;(4) R是右Noether,左gpm-内射环,右gpm-内射环;(5) R是右Noether,右gpm-内射环且每个极小右理想是右零化子。
- 更多网络解释与右零化子相关的网络解释 [注:此内容来源于网络,仅供参考]
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right artinian ring:右阿廷环
right annihilator ideal 右零化子 | right artinian ring 右阿廷环 | right balanced functor 右平衡函子
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right annihilator ideal:右零化子
right angled triangle 直角三角形 | right annihilator ideal 右零化子 | right artinian ring 右阿廷环
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rightanalytic function:右解析函数
right zero morphism 右零射 | rightanalytic function 右解析函数 | rightannihilator 右零化子
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rightannihilator:右零化子
rightanalytic function 右解析函数 | rightannihilator 右零化子 | rightcancellation law 右消去律
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rightcancellation law:右消去律
rightannihilator 右零化子 | rightcancellation law 右消去律 | rightdivision 右除