Geodesic
On the Ring of Quotients of a Boolean Ring
Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 25-29

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Two important mathematical constructions are: the construction of the rational s from the integers and the construction of the reals from the rationals. The first process can be carried out for any ring, producing its maximal ring of quotients [4, 5]. The second process can be carried out for any partially ordered set producing its Dedekind-MacNeille completion [2, p. 58]. We will show that for Boolean rings, which are both rings and partially ordered sets, the two constructions coincide. 
Brainerd, B.; Lambek, J. On the Ring of Quotients of a Boolean Ring. Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 25-29. doi: 10.4153/CMB-1959-006-x
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