Walendziak, Andrzej Ideals and congruences in pseudo-BCH algebras. (English) Zbl 1496.06022 Math. Slovaca 69, No. 1, 5-14 (2019). Summary: We introduce the concept of a translation ideal in pseudo-BCH algebras and investigate its properties. We prove that for any pseudo-BCH algebra \(\mathfrak X\) there is a one-to-one order-preserving correspondence between the closed translation ideals of \(\mathfrak X\) and the relative congruences on \(\mathfrak X\). Cited in 2 Documents MSC: 06F35 BCK-algebras, BCI-algebras Keywords:pseudo-BCK/BCI/BCH algebra; translation ideal; relative congruence PDFBibTeX XMLCite \textit{A. Walendziak}, Math. Slovaca 69, No. 1, 5--14 (2019; Zbl 1496.06022) Full Text: DOI References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.