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math.CO2022
Degenerations and order of graphs realized by finite abelian groups
Rameez Raja
Let G_1 and G_2 be two groups. If a group homomorphism φ: G_1 \longrightarrow G_2 maps a \in G_1 into b \in G_2 such that φ(a) = b, then we say a degenerates to b and if every elem…
math.AC2022
Essential ideals represented by mod-annihilators of modules
Rameez Raja, Shariefuddin Pirzada
Let be a commutative ring with unity, be a unitary -module and a finite abelian group (viewed as a -module). The main objective of this paper is to study…
math.CO2022
Realization of zero-divisor graphs of finite commutative rings as threshold graphs
Rameez Raja, Samir Ahmad Wagay
Let R be a finite commutative ring with unity, and let G = (V, E) be a simple graph. The zero-divisor graph, denoted by Γ(R) is a simple graph with vertex set as R, and two vertice…