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Injective and projective Boolean-like rings

1982
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Journal of the Australian Mathematical Society
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A Boolean-like ring R is a commutative ring with unity in which 2x = 0 and xy(\ + x)(\ + y) = 0 hold for all elements x, y of the ring R. It is shown in this paper that in the category of Boolean-like rings, R is injective if and only if R is a complete Boolean ring and R is projective if and only if K = {0,l}. 1980 Mathematics subject classification (Amer. Math. Soc): primary 13 A 99; secondary 18 G 05. Downloaded from https://www.cambridge.org/core. IP address: 207.241.231.81, on 28 Jul 2018

doi:10.1017/s1446788700017596
fatcat:cj7lmzimbfeedc4zoim7ykpdkm