Abstract
Let R be a commutative unital ring, and let be the collection of prime ideals of R. Further, let denote the collection of proper nonprime ideals of R and set In this note, we investigate some closure properties relative to these collections of ideals with respect to ideal addition and multiplication. Among the main objects of our study are rings R for which or Directions for further research are indicated.Communicated by Sudarshan Kumar Sehgal
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