Abstract We extend to D-lattices the definition of Kalmbach measurable elements with respect an outer measure $$\mu $$ ? . prove, in case is faithful, that are central, thus generalizing a result known for orthomodular lattices.
Min-independence has been proved to be a sufficient condition of a vector of fuzzy random variables to be a fuzzy random vector. The objective of this paper is to study further on the independence condition for fuzzy random vector based on continuous triangular norms. We first discuss measurability criteria for fuzzy random vector, and present two more new equivalent formulations of the measura...
We show that in contrast with the Cohen version of Solovay’s model, it is consistent for the continuum to be Cohen-measurable and for every function to be continuous on a non-meagre set.
We study Borel measurability of the spectrum in topological algebras. We give some equivalences of the various properties, show that the spectrum in a Banach algebra is continuous on a dense Gs, and prove that in a Polish algebra the set of invertible elements is an FaS and the inverse mapping is a Borel function of the second class. This article has its origin in the papers [7] and [5]. We stu...
