Abstract
Some properties like factoriality, seminormality and being a Krull domain, ... are studied on power series rings A [[X] (3,) A [[X]] (2) and A [[X] (1) over a commutative ring A. If X is an uncountable set, there is an other sub -ring of A [[ X]] (3) that stands strictly between A [[ X]] (2) and A [[X]l (3), we denote it by A [[X](4). In this paper, we study properties mentioned before on the ring A [[X](4).