LAUSR

Let R be a commutative ring with a nonzero identity. In this paper, we introduce the concept of weakly 2-prime ideal which is a generalization of 2-prime ideal and both are generalizations of prime ideals. A proper ideal I of R is called weakly 2-prime ideal if whenever a, b ? R with 0 ? ab ? I, then a2 or b2 lies in I. A number results concerning weakly 2-prime ideals are given. Furthermore, we characterize the valuation domain and the rings over which every weakly 2-prime ideal is 2-prime and rings over which every weakly 2-prime ideal is semi-primary(i.e ?I is prime ideal). We study the transfer the notion of weakly 2-prime ideal to amalgamted algebras along an ideal A ??fJ.