### Problems of associativity: A simple proof for the lattice property of systems ordered by a semi-associative law

Samuel Huang, Dov Tamari
<span title="">1972</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/z77xaqun7bcxjkh75wb7iseaty" style="color: black;">Journal of combinatorial theory. Series A</a> </i> &nbsp;
The notions of right bracketing and its associated bracketing function or family of sets lead to a short proof of the latticeproperty of (T, , -+), the system of binary bracketings ordered by a semi-associative law. 1 "Bracket" is used synonymously for "pair of parentheses" and "openings" ("closings") for "opening (closing) parentheses". 7
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