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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000226303> ?p ?o ?g. }

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• W2000226303 abstract "Let R be a ring whose set of idempotents E(R) is closed under multiplication. When R has an identity 1, E(R) is known to lie in the center of R, thus forming a Boolean algebra. In this article we consider what occurs if R has no identity, in which case E(R) is a possibly noncommutative variant of a generalized Boolean algebra. We explore the effects of E(R) on the structure of R, giving attention to various induced decompositions of R." @default.
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• W2000226303 date "2012-09-01" @default.
• W2000226303 modified "2023-10-16" @default.
• W2000226303 title "Rings Whose Idempotents Form a Multiplicative Set" @default.
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• W2000226303 doi "https://doi.org/10.1080/00927872.2011.567405" @default.
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