Using a category dual to finite BL-algebras and their homomorphisms, in this paper we characterise the structure of the automorphism group of any given finite BL-algebra. Further, we specialise our result to the case of the variety generated by the k-element MV-algebra, for each k > 1.
Automorphism Groups of Finite BL-Algebras / S. Aguzzoli, B. Gerla (COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE). - In: Information Processing and Management of Uncertainty in Knowledge-Based Systems / [a cura di] M.-J. Lesot, S. Vieira, M.Z. Reformat, J.P. Carvalho, A. Wilbik, B. Bouchon-Meunier, R.R. Yage. - [s.l] : Springer, 2020. - ISBN 9783030501525. - pp. 666-679 (( Intervento presentato al 18. convegno International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems tenutosi a Lisboa nel 2020 [10.1007/978-3-030-50153-2_49].
Automorphism Groups of Finite BL-Algebras
S. Aguzzoli;
2020
Abstract
Using a category dual to finite BL-algebras and their homomorphisms, in this paper we characterise the structure of the automorphism group of any given finite BL-algebra. Further, we specialise our result to the case of the variety generated by the k-element MV-algebra, for each k > 1.
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