  The stable module category of a selfinjective algebra is triangulated, but
need not have any nontrivial $t$-structures, and in particular, full abelian
subcategories need not arise as hearts of a $t$-structure. The purpose of this
paper is to investigate full abelian subcategories of triangulated categories
whose exact structures are related, and more precisely, to explore relations
between invariants of finite-dimensional selfinjective algebras and full
abelian subcategories of their stable module categories.
