A formula for ideal lattices of general commutative rings
Abstract
Let S be a set of n ideals of a commutative ring A. Let Geven (respectively Godd) denote the product of all the sums of even (respectively odd) number of ideals of S. If n<7 the product of Geven and the intersection of all ideals of S is included in Godd. In the case A is an Noetherian integral domain, this inclusion is replaced by equality if and only if A is a Dedekind domain.
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