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. Aguzzoli
Primo
;
M. Bianchi
Ultimo
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).
FLew-algebras; Single chain completeness; Singly generated varieties; Subdirectly irreducible algebras; Substructural logics; Well-connected algebras
Settore INF/01 - Informatica
Settore MAT/01 - Logica Matematica
Settore MAT/02 - Algebra
2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/463526
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