In this paper, we introduce the notion of pure ideal in BL-algebras and use it to characterize known classes of these algebras. We establish the relationship between pure ideals and pure filters in BL-algebras. We also study the stable topology and compare it with both the prime and maximum spectrum topologies.

BL-algebra, MV-algebra, reticulation of BL-algebras, pure ideals, stable topology.

Received: August 23, 2021; Accepted: September 20, 2021; Published: September 30, 2021

How to cite this article: Albert Kadji, Pure ideals and stable topology in BL-algebras, Universal Journal of Mathematics and Mathematical Sciences 14(2) (2021), 67-106. DOI: 10.17654/UM014020067

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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