Geodesic
On Birkhoff's Problem 73 For Monoids
Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 217-220

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Birkhoff in [2] poses the following problem:“Problem 73. Find necessary and sufficient conditions in order that the correspondence between the congruence relations and the (neutral) ideals of a lattice be one-one”.This problem has been solved by Areškin [l] and Hashimoto [3]. Essentially the conditions reduce to the r e quirement that the lattice be a generalized Boolean algebra. 
Brainerd, Barron. On Birkhoff's Problem 73 For Monoids. Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 217-220. doi: 10.4153/CMB-1960-026-3
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     title = {On {Birkhoff's} {Problem} 73 {For} {Monoids}},
     journal = {Canadian mathematical bulletin},
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     year = {1960},
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