English translation for "maximal right ideal"
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- 极大右理想
Related Translations:
maximal: adj.极为可能的;最大的;最高的;最全的。adv.-ly
- Example Sentences:
| 1. | The first chapter , main instead " duo - ring " condition of " every maximal left ideal is gw - ideal " condition , study strongly regularities of gp - v - ring on this condition . lt is shown that ( 1 ) r is strongly regular iff r is left gp - v - ring whose maximal left ideals are gw - ideal . ( 2 ) r is strongly regular iff r is left gp - v - ring whose maximal right ideals are gw - ideal . the second chapter , generalize some results of gp - v - ring to gp - v - ring , discuss regularity of gp - v ' - ring . it is shown that ( 1 ) r is left self - injective regular with non - zero socle iff r is left gp - v - ring with soc ( rr ) = soc ( rr ) and r contains an injective maximal left ideal 第一章主要将“ duo -环”条件替换成“每一极大左(右)理想是gw -理想”条件,研究在此条件下, gp - v -环的强正则性,证明了: ( 1 ) r是强正则环当且仅当r是左gp - v -环且r的每一极大左理想是广义弱理想; ( 2 ) r是强正则环当且仅当r是左gp - v -环且r的每一极大右理想是广义弱理想,第二章,主要将gp - v -环上一些结果推广到gp - v -环上,讨论gp - v -环的正则性,证明了: ( 1 ) r是左自内射正则环且soc ( _ rr ) 0当且仅当r是包含内射极大左理想的gp - v -环,且soc ( _ rr ) = soc ( r _ r ) ; ( 2 ) r是正则环且每一极大本质左理想是理想当且仅当r是左gp -内射的左gp - v -环且每一极大本质左理想是理想。 |
- Similar Words:
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