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| 加法范畴上K_根的模刻划、Koethe猜测和Herstein猜测 | |
| 引用本文： | 张惠兰. 加法范畴上K_根的模刻划、Koethe猜测和Herstein猜测[J]. 长江大学学报(社会科学版), 1993, 0(5) |
| 作者姓名： | 张惠兰 |
| 作者单位： | 中南财大信息系 |
| 摘 要： | 本文在加法范畴上定义了 Koethe 根,给出了它的模刻划.通过引进(幂零元)左Zorn 条件得到加法范畴上 Koethe 猜测成立的充要条件,进而得到加法范畴上 Herstein 猜测成立的充要条件.同时得到环论中相应的结果和两个猜测成立的充要条件.这个条件较[2]中条件有一定的减弱. |
| 关 键 词： | 加法范畴 理想 根 零化子 猜测 |
A MODULAR DESCRIPTION OF K_ROOT, THE PROBLEM OF KOETHE AND HERSTEIN ON ADDITIVE CATEGORIES |
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| Zhang Huilan Zhongnan University of Finanace and Economics. A MODULAR DESCRIPTION OF K_ROOT, THE PROBLEM OF KOETHE AND HERSTEIN ON ADDITIVE CATEGORIES[J]. Journal of Yangtze University(Social Sciences), 1993, 0(5) | |
| Authors: | Zhang Huilan Zhongnan University of Finanace and Economics |
| Affiliation: | Zhang Huilan Zhongnan University of Finanace and Economics |
| Abstract: | In this paper,the author defined the root of koethe and discussed the problem of koethe and Herstein on additive categories,and obtained the necessary and sufficient condi- tion that koethe and Herstein problem hold.At the same time,the author obtained a result of ring theory and the necessary and sufficient condition that koethe and Herstein problem hold.This condition is weaker than condition of [2]. |
| Keywords: | additive category ideal root annihilator conjecture |
| 本文献已被 CNKI 等数据库收录！ | |