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- W2027901023 abstract "In his paper, Abstract commutative ideal theory [2 ], Dilworth proved that a Noether lattice on which the multiplication is the meet operation is a finite Boolean algebra. This note proves that if the multiplication in a Noether lattice is idempotent (A2= A for all A in the lattice), then the lattice is a finite Boolean algebra. In a Noether lattice the term maximal element refers to a maximal nonidentity element (i.e. a coatom)." @default.
- W2027901023 created "2016-06-24" @default.
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- W2027901023 date "1969-01-01" @default.
- W2027901023 modified "2023-10-18" @default.
- W2027901023 title "Idempotent Noether lattices" @default.
- W2027901023 cites W2054354285 @default.
- W2027901023 doi "https://doi.org/10.1090/s0002-9939-1969-0241326-7" @default.
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