Nontrivial BCK/BCI-algebras do not satisfy the fuzzy ascending chain condition

被引：3

作者：

Walendziak, Andrzej ^{[1
]}

机构：

[1] Univ Podlasie, Math Inst, PL-08110 Siedlce, Poland

[2] Warsaw Sch Informat Technol, PL-01447 Warsaw, Poland

来源：

FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 08期

关键词：

BCK/BCI-algebra; fuzzy ideal;

D O I：

10.1016/j.fss.2006.11.018

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In [J. Meng, X. Guo, On fuzzy ideals in BCK/BCI-algebras, Fuzzy Sets and Systems 149 (2005) 509-525], Meng and Guo gave some characterizations of Noetherian BCK/BCI-algebras by fuzzy ideals. They introduced (see Definition 6.2) the notion of the fuzzy ascending chain condition (briefly, FACC) and stated that a BCK/BCI-algebra X is Noetherian if and only if X satisfies the FACC (Theorem 6.5), but it is not true. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：922 / 923

页数：2