Семинар Катедре за алгебру и математичку логику, 1. март 2013.

• 27. Фебруар, 2013
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Наредни састанак Семинара Катедре за алгебру и математичку логику биће одржан у петак 1. марта у 13 часова, сала 844.

Предавач: Osama Shafah

Наслов предавања: On the zero-divisor graph of finite commutative ring.

Садржај: This talk is going to be on the zero divisor graph Γ(G) of a finite commutative ring with unity. I will give its definition and some concepts like; The distance between two vertices, the diameter of a graph G, The girth of G, and The meaning of an annihilator. Through some theorems I will give properties of Γ(G).

Also I will mention Zariski topology under the section named as [The spectrum of a commutative ring R], as Iwill give the relation between Gelfand ring and spectrum of R. In the finally talk I will mention cycles in the zero-divisor graph and its connection with a reduced ring R.