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Chain conditions in free products of lattices with infinitary ... - MSP

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108 G. GRATZER, A. HAJNAL AND DAVID KELLY<br />

<strong>of</strong> L <strong>in</strong>to K. In particular, if each Z^ (i e /) is a one-element lattice,<br />

then L is the V-<strong>free</strong> m-lattice generated by X. We omit mention <strong>of</strong> V<br />

if it is the variety L m <strong>of</strong> all m-<strong>lattices</strong>. We also omit m if m = fc$ 0<br />

Let X = {x a \a

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