G. Ulucak

activity

20152024

collaborators

4 papers

math.AC2024

Multiplicative lattices with absorbing factorization

Andreas Reinhart, Gulsen Ulucak

In [24], Yassine et al. introduced the notion of 1-absorbing prime ideals in commutative rings with nonzero identity. In this article, we examine the concept of 1-absorbing prime e…

math.AC2021

$δ$ - $n$ -ideals of commutative rings

Ece Yetkin Celikel, Gulsen Ulucak

Let $R$ be a commutative ring with nonzero identity, and $δ : I (R) \to I (R)$ be an ideal expansion where $I (R)$ the set of all ideals of $R$ . In t…

math.AC2021

On $1$ -absorbing $δ$ -primary ideals

Abdelhaq El Khalfi, Najib Mahdou, Ünsal Tekir +1

Let $R$ be a commutative ring with nonzero identity. Let $I (R)$ be the set of all ideals of $R$ and let $δ : I (R) ⟶ I (R)$ be a function. T…

math.AC2015

Uniformly 2-absorbing primary ideals of commutative rings

Hojjat Mostafanasab, Unsal Tekir, Gulsen Ulucak

In this study, we introduce the concept of "uniformly 2-absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absor…

Multiplicative lattices with absorbing factorization

δ-n-ideals of commutative rings

On 1-absorbing δ-primary ideals

Uniformly 2-absorbing primary ideals of commutative rings

$δ$ - $n$ -ideals of commutative rings

On $1$ -absorbing $δ$ -primary ideals