| 优BCI-代数的直积 |
| |
| 引用本文： | 陈昭木. 优BCI-代数的直积[J]. 福建师范大学学报(自然科学版), 1987, 0(2) |
| |
| 作者姓名： | 陈昭木 |
| |
| 作者单位： | 福建师范大学数学系 |
| |
| 摘 要： | 1976年K.Iséki在BCK-代数中引进了直积的概念。本文把直积的概念推广到BCI-代数中,并证明了它的泛性定理。同时,引进优BCI-代数新的类,证明了在优BCI-代数中内直积与外直积是同构的。最后,附带肯定地答复了贾兴德提出的一个未解决的问题:具有条件(S)的BCK-代数是否正则的?
|
| 关 键 词： | 优BCI-代数 外直积的泛性 同构定理 具有条件(S)的优BCI-代数的正则性 |
The Direct Product Theory of Well BCI-algebras |
| |
| Chen Zhao-mu. The Direct Product Theory of Well BCI-algebras[J]. Journal of Fujian Teachers University(Natural Science), 1987, 0(2) |
| |
| Authors: | Chen Zhao-mu |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | In this paper we introduce the direct product into BCI-algebras, and prove its universal theorem. In the meantime we introduce well BCI-algebres that is a new class of BCI-algebras, and show that the direct product and interior direct product are equiualent in well BCI-algebras. Finally, we answer certainly the problem whether BCK-algebras with the condition(S) are regular. |
| |
| Keywords: | Well BCI-algebras Universal property of direct product of BC-I algebras Isomorphism theorem Regular of Well BCI-algebras with the condition(S). |
| 本文献已被 CNKI 等数据库收录！ |
