شماره ركورد كنفرانس :
3806
عنوان مقاله :
A study on zero-divisor graph of the ring RL based on zero sets in pointfree topology
عنوان به زبان ديگر :
A study on zero-divisor graph of the ring RL based on zero sets in pointfree topology
پديدآورندگان :
Abedi M abedi@esfarayen.ac.ir Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
كليدواژه :
frame , triangulated and hypertriangulated , dominating set
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گراف و تركيبات جبري
چكيده فارسي :
In this paper the zero-divisor graph Γ(RL) of the ring RL in terms of zero sets in pointfree topology is studied. We associate the ring properties of RL, the graph properties of Γ(RL), the topological properties of ΣL and frametheoretic properties of L. An algebraic and a topological description is given for the graph Γ(RL) to be triangulated or be hypertriangulated. Eventually we observe that Γ(RL) is not triangulated and the set of centers of Γ(RL) is a dominating set if and only if the set of isolated points of ΣL is dense in ΣL if and only if the socle of RL is an essential ideal
چكيده لاتين :
In this paper the zero-divisor graph Γ(RL) of the ring RL in terms of zero sets in pointfree topology is studied. We associate the ring properties of RL, the graph properties of Γ(RL), the topological properties of ΣL and frametheoretic properties of L. An algebraic and a topological description is given for the graph Γ(RL) to be triangulated or be hypertriangulated. Eventually we observe that Γ(RL) is not triangulated and the set of centers of Γ(RL) is a dominating set if and only if the set of isolated points of ΣL is dense in ΣL if and only if the socle of RL is an essential ideal
