Resumen de Some finitary constructions on inflationary BL-algebras and their properties

José Ronaldo, Rui Eduardo Brasileiro Paiva, Benjamín Bedregal

• Recently, in the article “Inflationary BL-algebras obtained from 2-dimensional general overlap functions”, published in Fuzzy Sets and Systems, Paiva et al. proposed a new generalization of BL-algebras dropping the requirements of associativity and existence of the neutral element for the fuzzy conjunction. Such a generalization was called inflationary BL-algebras. In this paper, we continue to consider this research topic and focus on operations of direct product, separated sum, and lifting for inflationary BL-algebras, as well as exploring some properties of these finitary constructions