A characteristic zero non-Noetherian factorial ring of dimension three
نویسندگان
چکیده
منابع مشابه
On zero divisor graph of unique product monoid rings over Noetherian reversible ring
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors. The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero zero-divisors of $R$, and two distinct vertices $r$ and $s$ are adjacent if and only if $rs=0$ or $sr=0$. In this paper, we bring some results about undirected zero-divisor graph of a monoid ring o...
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متن کاملon zero divisor graph of unique product monoid rings over noetherian reversible ring
let $r$ be an associative ring with identity and $z^*(r)$ be its set of non-zero zero divisors. the zero-divisor graph of $r$, denoted by $gamma(r)$, is the graph whose vertices are the non-zero zero-divisors of $r$, and two distinct vertices $r$ and $s$ are adjacent if and only if $rs=0$ or $sr=0$. in this paper, we bring some results about undirected zero-divisor graph of a monoid ring ov...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1973-0325604-4