Let Γ be a nonzero commutative cancellative monoid (written additively), R=⊕ α∈ Γ R α be
a Γ-graded integral domain with R α≠{0} for all α∈ Γ, and H be the set of nonzero …

Let R=⊕ α∈ Γ R α be a commutative ring graded by an arbitrary torsionless monoid Γ. A
homogeneous prime ideal P of R is said to be strongly homogeneous prime if aP and bR are …

Let Γ be a torsionless commutative cancellative monoid and R=⊕ α∈ Γ R α be a Γ-graded
integral domain. In this paper, we provide necessary and sufficient conditions for R to be a …

Let Γ be a torsionless grading monoid, R=⊕ α∈ Γ R α a Γ-graded integral domain, H the set
of nonzero homogeneous elements of R, K the quotient field of R 0 and G 0 the group of …

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α∈ Γ Rα a Γ-graded integral domain, and H the saturated multiplicative set of nonzero
homogeneous elements of R. A homogeneous prime ideal P of R is said to be a pseudo …

Let Γ be a torsionless grading monoid and R=⊕ α∈ Γ R α be a Γ-graded integral domain. In
this paper, we present basic properties and give a complete characterization of strongly …