| 分配生成素近环成为素环的条件 |
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| 引用本文： | 王学宽.分配生成素近环成为素环的条件[J].湖北大学学报(自然科学版),1993,15(4):399-401. |
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| 作者姓名： | 王学宽 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： |
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| 关 键 词： | 分配生成 素近环 生成元 素环 |
THE CONDITIONS FOR A DISTRIBUTIVELY GENERATED PRIME NEAR-RING BEING A PRIME RING |
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| Wang Xuekuan.THE CONDITIONS FOR A DISTRIBUTIVELY GENERATED PRIME NEAR-RING BEING A PRIME RING[J].Journal of Hubei University(Natural Science Edition),1993,15(4):399-401. |
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| Authors: | Wang Xuekuan |
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| Institution: | Department of Mathematics |
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| Abstract: | Let N be a distributively generated prime near -ring by D , then the following conditions are equivalent
(1) N is a prime ring,
(2) d + d D for any d D ,
(3) there is a nonzero element in the center of N such that ;z +z Z . |
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| Keywords: | Distributive generation Prime near - ring Ideal of near - ring Generator |
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