Graded integral domains which are UMT-domains

Gyu Whan Chang, Parviz Sahandi

Let $\Gamma$ be a torsionless commutative cancellative monoid, $R={⨁}_{\alpha \in \Gamma }{R}_{\alpha }$ be a $\Gamma$-graded integral domain, and $H$ be the set of nonzero homogeneous elements of $R$. In…