Thick Tensor Ideal

A thick tensor ideal in a tensor triangulated category is a thick subcategory such that belongs to whenever does and is any object of the ambient category. Tensor closure distinguishes it from an ordinary thick subcategory. The zero subcategory and the entire category are examples. For dualizable Morava K-theory local spectra, the tensor product is the localized smash product . The Hovey-Strickland conjecture concerns the thick tensor ideals in precisely that category.