The general ideal-lattice formula for commutative rings

The paper considers the ideal-theoretic identities established above for a commutative ring and natural number nn. General ideal-lattice formula conjecture. The theorem above holds for all natural numbers nn. This conjecture proposes that the formula, verified in the preceding cases—including one checked by computer—extends to every natural number.

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Primary source

Takashi Aoki, Shuzo Izumi, Yasuo Ohno and Manabu Ozaki, “A formula for ideal lattices of general commutative rings”, arXiv:math/0601377 (2006).

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