Browsing by Author "Abdioğlu, Cihat"
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Clear graph of a ring
Mir, Shabir Ahmad; Abdioğlu, Cihat; Rehman, Nadeem ur; Nazim, Mohd; Akkafa, Muhammed; Çelikel, Ece Yetkin (Indian National Science Academy, 2024)This research article introduces the concept of the clear graph associated with a ring R with identity, denoted as Cr(R). This graph comprises vertices of the form {(x,u):x is a unit regular element of R and u is a unit ... -
Ideal-based quasi zero divisor graph
Yetkin-Çelikel, Ece; Das, Angsuman; Abdioğlu, Cihat (Hacettepe Üniversitesi Fen Fakultesi, 2021)Let R be a commutative ring with identity and I a proper ideal of R. In this paper we introduce the ideal-based quasi zero divisor graph QGammaI(R) of R with respect to I which is an undirected graph with vertex set ...