On \phi-n-absorbing primary ideals of commutative rings

All rings are commutative with $1$ and $n$ is a positive integer. Let $\phi: J®\to J®\cup{\emptyset}$beafunctionwhere$J®$ denotes the set of all ideals of $R$. We say that a proper ideal $I$ of $R$ is $\varphi$-$n$-absorbing primary if whenever $a_1,a_2,\mathrm{.}\mathrm{.}\mathrm{.},a_{n+1}\in R$ and $a_1a_2\cdots a_{n+1}\in I\backslash\phi(I)$,either$a_1a_2\cdots a_n\in I$ortheproductof$a_{n+1}$with$(n-1)$of$a_1,…,a_n$isin$\sqrt{I}$. The aim of this paper is to investigate the concept of $\varphi$-$n$-absorbing primary ideals.