Suat Koç

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math.AC2025

Commutative rings with $n$ - $1$ -absorbing prime factorization

Abdelhaq El Khalfi, Hicham Laarabi, Suat KoÃ§

Let $R$ be a commutative ring with $1 \neq = 0$ and $n$ be a fixed positive integer. A proper ideal $I$ of $R$ is said to be an \textit{ $n$ -OA ideal} if whenever $a_1a_2\cdots a_{n+1}…

math.AC2025

On Divisor Topology of Modules over Domains

Ãnsal Tekir, UÄur YiÄit, Mesut BuÄday +1

Let $M$ be a module over a domain $R$ and $M^{#} = {0 \neq = m \in M : R m \neq = M}$ be the set of all nonzero nongenerators of $M .$ Consider following equivalence relation $\sim$ on $M^…

math.AC2024

On Divisor Topology of Commutative Rings

UÄur YiÄit, Suat KoÃ§

Let $R$ be an integral domain and $R^{#}$ the set of all nonzero nonunits of $R .$ For every elements $a, b \in R^{#},$ we define $a \sim b$ if and only if $a R = b R,$ that is, $a$ an…

Commutative rings with n-1-absorbing prime factorization

On Divisor Topology of Modules over Domains

On Divisor Topology of Commutative Rings

Commutative rings with $n$ - $1$ -absorbing prime factorization