  We develop a point-free approach for constructing the
Nakano-Vashaw-Yakimov-Balmer spectrum of a noncommutative tensor triangulated
category under some mild assumptions. In particular, we provide a conceptual
way of classifying radical thick tensor ideals of a noncommutative tensor
triangulated category using frame theoretic methods, recovering the universal
support data in the process. We further show that there is a homeomorphism
between the spectral space of radical thick tensor ideals of a noncommutative
tensor triangulated category and the collection of open subsets of its spectrum
in the Hochster dual topology.

Category Theory;Algebraic Geometry;Representation Theory