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- W4299578816 abstract "Every reduced ring $R$ has a natural partial order defined by $ale b$ if $a^2=ab$; it generalizes the natural order on a boolean ring. The article examines when $R$ is a lower semi-lattice in this order with examples drawn from weakly Baer rings (pp-rings) and rings of continuous functions. Locally connected spaces and basically disconnected spaces give rings $C(X)$ which are such lower semi-lattices. Liftings of countable orthogonal (in this order) sets over surjective ring homomorphisms are studied." @default.
- W4299578816 created "2022-10-02" @default.
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- W4299578816 date "2018-01-01" @default.
- W4299578816 modified "2023-09-29" @default.
- W4299578816 title "The reduced ring order and lower semi-lattices" @default.
- W4299578816 doi "https://doi.org/10.1090/conm/715/14406" @default.
- W4299578816 hasPublicationYear "2018" @default.
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