Ideals and congruences in pseudo-BCH algebras

Year, pages: 2019, 5 - 14

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 $\mathfrak{X}$.

Walendziak, A. 2019. Ideals and congruences in pseudo-BCH algebras. In Mathematica Slovaca, vol. 69, no.1, pp. 5-14. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0199

Walendziak, A. (2019). Ideals and congruences in pseudo-BCH algebras. Mathematica Slovaca, 69(1), 5-14. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0199