The structure of Sally modules – towards a theory of non-Cohen–Macaulay cases

Sally modules of m-primary ideals in a generalized Cohen–Macaulay and/or Buchsbaum local ring (A,m) are investigated. The structure theorems of Sally modules of rank one given by Goto et al. (2008) [GNO1,GNO2] in the case where A is a Cohen–Macaulay local ring are generalized.