KOÇ, SUATTEKİR, ÜNSAL2022-03-142022-03-142021-120138-4821https://hdl.handle.net/11424/243385In this paper, we introduce phi-1-absorbing prime ideals in commutative rings. Let R be a commutative ring with a nonzero identity 1 not equal 0 and phi : I(R) -> I(R) boolean OR {theta} be a function where I( R) is the set of all ideals of R. A proper ideal I of R is called a phi-1-absorbing prime ideal if for each nonunits x, y, z is an element of R with xyz is an element of I - phi(I), then either xy is an element of I or z is an element of I. In addition to give many properties and characterizations of phi-1-absorbing prime ideals, we also determine rings in which every proper ideal is phi-1-absorbing prime.enginfo:eu-repo/semantics/openAccessphi-prime ideal1-absorbing prime idealphi-1-absorbing prime idealGeneralizations of prime ideal2-ABSORBING IDEALSarticleWOS:00060406290000210.1007/s13366-020-00557-w2191-0383