ABSTRACT

This paper is the second of two parts of a sunrey summanzing most of the research done since the previous survey in 1978 on the going‐down property and classes of going‐down domains. Emphasis is given to new characten.zations and appli‐ cations, as well as new classes of rings and themes introduced since the previous survey, such as universally going‐down domains and generalizations to the context of commutative rings with zero‐divisors. The status of the open problems identified in the previous survey is addressed, and additional open problems are descnbed.