The flat topology on the minimal and maximal prime spectrum of a commutative ring

• DOI: 10.1142/s021949881950110x
• Publication Date: 2018-05-31T02:45:30Z
• Authors: Esmaeil Rostami; Masoumeh Hedayati; Nosratollah Shaja...
• Keywords: Associated prime; Annihilator; Noetherian ring; Spectral space

In this paper, we investigate connections between some algebraic properties of commutative rings and topological their minimal maximal prime spectrum with respect to the flat topology. We show that for a ring [Formula: see text], ascending chain condition on principal annihilator ideals text] holds if only is Noetherian space as subspace topology give characterization which Also, whose compact Some other results are obtained too.