# Revista Matemática Iberoamericana

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**Volume 30, Issue 1, 2014, pp. 191–201**

**DOI: 10.4171/RMI/774**

Published online: 2014-03-23

Bouligand–Severi tangents in MV-algebras

Manuela Busaniche^{[1]}and Daniele Mundici

^{[2]}(1) Universidad Nacional del Litoral, Santa Fé, Argentina

(2) Università degli Studi di Firenze, Italy

In their important recent paper
published in the Annals of Pure and Applied
Logic, Dubuc and Poveda call an
MV-algebra $A$ *strongly semisimple* if all principal
quotients of $A$ are semisimple.
All boolean algebras are strongly semisimple, and so are
all finitely presented MV-algebras.
We show that for any

*Keywords: *MV-algebra, strongly semisimple, Bouligand–Severi tangent, Łukasiewicz logic, syntactic and semantic consequence, Yosida frame, semisimple, logically complete MV-algebra

Busaniche Manuela, Mundici Daniele: Bouligand–Severi tangents in MV-algebras. *Rev. Mat. Iberoam.* 30 (2014), 191-201. doi: 10.4171/RMI/774