摘要
不同于正则半群中的方法研究同余,为了刻画纯整环并半环上的同余,定义了纯整环并半环上的同余对。对纯整环并半环上的同余进行了研究,得到了纯整环并半环上关于同余和同余对的一些结果。主要结论是:纯整环并半环上的每个同余都被其上的同余对所唯一确定。
To describe the congruences on orthorings, the concept of congruence-pair is introduced which is different from the method in regular semigroups. The congruences on orthorings are studied. Results concerning congruences and congruence-pairs on orthorings are obtained. The main result is as the following: Every congruence on orthorings is uniquely determined by the congruence-pair.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2005年第6期8-10,共3页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(10471112)