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In this paper it is shown that there is a large class of      f f      -rings in which the sum of any two semiprime      l l      -ideals is semiprime. This result is used to give a class of commutative      f f      -rings with identity element in which the sum of any two      z z      -ideals which are      l l      -ideals is a      z z      -ideal and the sum of any two      d d      -ideals is a      d d      -ideal.

Sums of semiprime, 𝑧, and 𝑑𝑙-ideals in a class of 𝑓-rings