When almost Cohen-Macaulay algebras map into big Cohen-Macaulay modules
  In this paper, we show that almost Cohen-Macaulay algebras are solid and in this respect, we seek for some special situation when (a) an almost Cohen-Macaulay algebra will be phantom extension and (b) when it maps into a balanced big Cohen-Macaulay module. 
Rajsekhar Bhattacharyya
math.AC