RING ENDOMORPHISMS WITH THE REVERSIBLE CONDITION
نویسندگان
چکیده
منابع مشابه
Ring endomorphisms with nil-shifting property
Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,bin R.$ The reversible property is an important role in noncommutative ring theory. Recently, Abdul-Jabbar et al. studied the reversible ring property on nilpotent elements, introducing the concept of commutativity of nilpotent elements at zero (simply, a CNZ ring). In this paper, we extend the CNZ pr...
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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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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2010
ISSN: 1225-1763
DOI: 10.4134/ckms.2010.25.3.349