An algebra A is said to be strongly semisimple if every principal congruence of A is an intersection of maximal congruences. We give a geometrical characterisation of strongly semisimple MV-algebras in terms of Bouligand-Severi k-tangents. The latter are a k-dimensional generalisation of the classical Bouligand-Severi tangents.
Bouligand Severi tangents and strongly semisimple MV-algebras / Leonardo Manuel Cabrer. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 404:(2014), pp. 271-283. [10.1016/j.jalgebra.2014.01.014]
Bouligand Severi tangents and strongly semisimple MV-algebras
CABRER, LEONARDO MANUEL
2014
Abstract
An algebra A is said to be strongly semisimple if every principal congruence of A is an intersection of maximal congruences. We give a geometrical characterisation of strongly semisimple MV-algebras in terms of Bouligand-Severi k-tangents. The latter are a k-dimensional generalisation of the classical Bouligand-Severi tangents.
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