Abstract In this short note we show that given a variety V of FLew-algebras generated by a well-connected algebra, there always exists a subdirectly irreducible algebra generating V. This solves an open problem first raised in Galatos et al., Residuated lattices: an algebraic glimpse at substructural logics (2007).
On varieties singly generated by a well-connected FLew-algebra / S. Aguzzoli, M. Bianchi. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - 320(2017), pp. 60-63. [10.1016/j.fss.2016.11.004]
On varieties singly generated by a well-connected FLew-algebra
S. AguzzoliPrimo
;M. BianchiUltimo
2017
Abstract
Abstract In this short note we show that given a variety V of FLew-algebras generated by a well-connected algebra, there always exists a subdirectly irreducible algebra generating V. This solves an open problem first raised in Galatos et al., Residuated lattices: an algebraic glimpse at substructural logics (2007).
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