Higher Degrees of Distributivity in Lattices of Continuous Functions

Elliot Carl Weinberg · Transactions of the American Mathematical Society · 1962

This work is concerned with lattice distributivity properties expressed by lattice identities with infinitely many variables.A distributive lattice may be described as one in which the following equation and its lattice dual hold identically whenever J and 7 are finite index sets: n<er Sjej a,,j = S^e/7 Hiél a¿,*(<).

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