| 半群环的主理想升链条件问题 |
| |
| 引用本文： | 马晨江. 半群环的主理想升链条件问题[J]. 三峡大学学报(自然科学版), 2005, 27(1): 91-92 |
| |
| 作者姓名： | 马晨江 |
| |
| 作者单位： | 三峡大学,理学院,湖北,宜昌,443002 |
| |
| 摘 要： | 在环为整环、半群为交换无挠可消摹群的条件下对半群环的主理想升链条件进行了研究．得到了半群环满足“主理想升链条件”的必要条件，以及在U(S)=(e)的条件下半群环满足“主理想升链条件”的充要条件．
|
| 关 键 词： | 半群环 主理想 整环 充要条件 必要条件 交换 问题 链条 |
| 文章编号： | 1672-948X(2005)01-0091-02 |
| 修稿时间： | 2004-07-07 |
Problem of Ascending Chain Condition for Principal Ideal of Semigroup Rings |
| |
| Ma Chenjiang. Problem of Ascending Chain Condition for Principal Ideal of Semigroup Rings[J]. Journal of China Three Gorges University(Natural Sciences), 2005, 27(1): 91-92 |
| |
| Authors: | Ma Chenjiang |
| |
| Abstract: | The ascending chain condition for principal ideal(a.c.c.p.) of semigroup rings is discussed;under the condition that the rings are integral domains and the semigroups are commutative torsion-free and cancellative monoids.A necessary condition of a.c.c.p.of semigroup rings is obtained.And a necessary and sufficient condition of a.c.c.p.of semigroup rings is obtained under the condition U(S)={e}. |
| |
| Keywords: | ascending chain condition for principal ideal semigroup ring integral domain commutative torsion-free and cancellative monoids |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
