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- W1991384189 abstract "Maneri [7] proved that a simple ring of type (-1, 1) with characteristic prime to 6 having an idempotent e#O, 1 is associative. It is shown in this paper that when R is a (-1, 1) ring with no trivial ideals which has characteristic prime to 6, then if R contains an idempotent e $0O, 1, it has a Peirce decomposition relative to e. Further, the multiplicative relations between the submodules of the Peirce decomposition relative to containment are the same as those for an associative ring. Under the additional assumption that R is a prime ring it is proven that R must be associative." @default.
- W1991384189 created "2016-06-24" @default.
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- W1991384189 date "1967-05-01" @default.
- W1991384189 modified "2023-09-26" @default.
- W1991384189 title "Prime $(-1,,1)$ rings with idempotent" @default.
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- W1991384189 doi "https://doi.org/10.1090/s0002-9939-1967-0215893-1" @default.
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