On some properties of Abian's semiring and its zero divisor graphs
نویسندگان
چکیده
منابع مشابه
On zero-divisor graphs of quotient rings and complemented zero-divisor graphs
For an arbitrary ring $R$, the zero-divisor graph of $R$, denoted by $Gamma (R)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $R$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. It is well-known that for any commutative ring $R$, $Gamma (R) cong Gamma (T(R))$ where $T(R)$ is the (total) quotient ring of $R$. In this...
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متن کاملon zero-divisor graphs of quotient rings and complemented zero-divisor graphs
for an arbitrary ring $r$, the zero-divisor graph of $r$, denoted by $gamma (r)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $r$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. it is well-known that for any commutative ring $r$, $gamma (r) cong gamma (t(r))$ where $t(r)$ is the (total) quotient ring of $r$. in this...
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ژورنال
عنوان ژورنال: Journal of the Indonesian Mathematical Society
سال: 2020
ISSN: 2460-0245,2086-8952
DOI: 10.22342/jims.26.1.776.64-73