Support Theories

The notion of support studied in this chapter agrees with the classic support from Chap. 14 for finitely generated modules but conforms better to derived category methods: Compare, for example, 15.1.15 with 14.1.17. In commutative algebra this notion of support was introduced in the paper [110] from the late 1970s. In the late 1990s the dual notion of cosupport was introduced by Hovey and Strickland [161] in the context of spectra. Its importance in commutative algebra was only recognized later, initially through work of Benson, Iyengar, and Krause [48].