Turkish Journal of Mathematics
Abstract
ideals of $R$. In this paper, we extend the concept of 2-absorbing primary ideals to the context of $\phi $-2-absorbing primary ideals. Let $\phi :S(R)\rightarrow S(R)\cup \emptyset $ be a function. A proper ideal $I$ of $% R $ is said to be a $\phi $-2-absorbing primary ideal of $R$ if whenever $% a,b,c\in R$ with $abc\in I-\phi (I)$ implies $ab\in I$ or $ac\in \sqrt{I}$ or $bc\in \sqrt{I}$. A number of results concerning $\phi $-2-absorbing primary ideals are given.
DOI
10.3906/mat-1505-43
Keywords
Primary ideal, weakly primary ideal, prime ideal, weakly prime ideal, 2-absorbing ideal, n-absorbing ideal, weakly 2-absorbing ideal, 2-absorbing primary ideal, weakly 2-absorbing primary ideal, $\phi $-prime ideal, $\phi $-2-primary ideal, $\phi $-2-absorbing ideal
First Page
703
Last Page
717
Recommended Citation
BADAWI, A, TEKİR, Ü, UĞURLU, E. A, ULUCAK, G, & CELİKEL, E. Y (2016). Generalizations of 2-absorbing primaryideals of commutative rings. Turkish Journal of Mathematics 40 (3): 703-717. https://doi.org/10.3906/mat-1505-43
