Multiplicative Properties of the Slice Filtration, by Pablo Pelaez

This is an updated version of preprint #898. We introduce a natural analogue of the slice filtration for the motivic stable homotopy category of A-modules, where A denotes a cofibrant ring spectrum with unit in Jardine's motivic model category of symmetric T-spectra. If the ring spectrum A satisfies some natural additional conditions, then we show that the slice filtration for the categories of symmetric T-spectra and A-modules are strictly compatible, i.e. for every symmetric T-spectrum X, and every integer n; the n-slice s_n(X) is equipped with a natural structure of A-module at the model category level.

Pablo Pelaez <>