KOÇ, SUATTEKİR, ÜNSAL2022-03-142022-03-142021-03-140035-5038https://hdl.handle.net/11424/243429This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let A be a commutative ring with a nonzero identity 1 not equal 0. A proper ideal P of A is said to be a weakly 1-absorbing prime ideal if for every nonunits x, y, z. A with 0 not equal xyz. P, then xy is an element of P or z is an element of P. In addition to give many properties and characterizations of weakly 1-absorbing prime ideals, we also determine rings in which every proper ideal is weakly 1-absorbing prime. Furthermore, we investigate weakly 1-absorbing prime ideals in C( X), which is the ring of continuous functions of a topological space X.enginfo:eu-repo/semantics/openAccessWeakly prime ideal1-absorbing prime idealWeakly 2-absorbing idealWeakly 1-absorbing prime idealTrivial extensionRings of continuous functionsarticleWOS:00062881600000110.1007/s11587-020-00550-41827-3491