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• W3100696094 abstract "In this paper, we describe how intersections with a totality of some ideals affect the essentiality of an ideal. We mainly study intersections with every (a) annihilator ideal, (b) prime ideal (c) strongly irreducible ideal (d) irreducible ideal and every pure ideal. After some general results, the paper focuses on [Formula: see text] to characterize spaces [Formula: see text] when every irreducible ideal of [Formula: see text] is pseudoprime. We also characterize the rings of continuous functions [Formula: see text] in which every pseudoprime ideal is strongly irreducible. We give a negative answer to a question raised by Gilmer and McAdam." @default.
• W3100696094 created "2020-11-23" @default.
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• W3100696094 date "2020-12-18" @default.
• W3100696094 modified "2023-09-23" @default.
• W3100696094 title "Variations of essentiality of ideals in commutative rings" @default.
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• W3100696094 doi "https://doi.org/10.1142/s0219498822500566" @default.
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