Soft prime and semiprime int-ideals of a ring

Abstract

In this paper, some properties of soft radical of a soft int-ideal have been developed and soft prime int-ideal, soft semiprime int-ideal of a ring are defined. Several characterizations of soft prime (soft semiprime) int-ideals are investigated. Also it is shown that the direct and inverse images of soft prime (soft semiprime) int-ideals under homomorphism remains invariant.

Keywords

• soft int-ideal
• soft prime int-ideal
• soft semiprime int-ideal
• soft radical