Authors: McNair, Dawn B., Johnson C. Smith University, Charlotte, NC 28216 (email@example.com).
Duals of ideals in rings with zero divisors, pp. 1-26.
ABSTRACT For any nonzero ideal I of ring R, we define the inverse of I as the set of elements from Q(R) (complete ring of quotients of R) that conducts I into R and call it the dual of I . Much work has been done with regard to determining when the dual of I is a ring in the case R is an integral domain. This paper will extend those results to dense ideals in rings with zero divisors. Attention will also be given to duals of ideals in Prüfer and strong Prüfer rings.