On pseudo-equality algebras

被引：20

作者：

Ciungu, Lavinia Corina ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

ARCHIVE FOR MATHEMATICAL LOGIC | 2014年 / 53卷 / 5-6期

关键词：

Equality algebra; Pseudo-equality algebra; Pseudo-BCK algebra; Meet-semilattice; Pseudo-product condition; Pseudo-distributivity condition; Pseudo-equality distributivity condition; BCK ALGEBRAS;

D O I：

10.1007/s00153-014-0380-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, a newalgebraic structure called pseudo-equality algebra has been defined by Jenei and Korodi as a generalization of the equality algebra previously introduced by Jenei. As a main result, it was proved that the pseudo-equality algebras are term equivalent with pseudo-BCK meet-semilattices. We found a gap in the proof of this result and we present a counterexample and a correct version of the theorem. The correct version of the corresponding result for equality algebras is also given.

引用

页码：561 / 570

页数：10