On strongly homogeneous prime ideals in a graded integral domain.

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 homogeneous prime ideals of R. These works generalize Ahmed and the authors' characterization of when R is a graded pseudo-valuation domain. [ABSTRACT FROM AUTHOR]