Let R be a commutative ring with nonzero identity and n be a positive integer. In this paper,
we introduce and investigate a new subclass of ϕ-n-absorbing primary ideals, which are …

Let R be a commutative ring with identity. A proper ideal I is said to be an n-ideal of R if for a,
b∈ R, ab∈ I and a∉ 0 imply b∈ I. We give a new generalization of the concept of n-ideals …

Let J (R) denote the Jacobson radical of a commutative ring. In Khashan the notion of a J-
ideal was introduced and studied. In khashanandece Khashan et al. introduced the concept …

For commutative rings with identity, we introduce and study the concept of semi r-ideals
which is a kind of generalization of both r-ideals and semiprime ideals. A proper ideal I of a …

Let $ R $ be a commutative ring with identity and $ S $ a multiplicatively closed subset of $ R
$. This paper aims to introduce the concept of $ Sn $-ideals as a generalization of $ n …

In this paper, author presents a generalization of an X-element in a multiplicative lattice L.
For a particular M-closed subset X, author defines the concept of Φ--r-element, Φ--n …