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- W4232130195 abstract "An algebra $A$ over a field $F$ will be called scalar dependent in case for every $x,y,z$ in $A$ there exists a function $g(x,y,z)$ in $F$ such that $(xy)z = g(x,y,z)x(yz)$. The main result of this paper is that any scalar dependent algebra which contains a nonzero idempotent must always be associative. Since there are known to exist scalar dependent algebras which are not associative, the hypothesis regarding the existence of an idempotent is actually necessary." @default.
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- W4232130195 date "1973-06-01" @default.
- W4232130195 modified "2023-09-26" @default.
- W4232130195 title "Scalar Dependent Algebras" @default.
- W4232130195 doi "https://doi.org/10.2307/2038991" @default.
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