Geodesic
The Additive Group of an f-ring
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1157-1168

Voir la notice de l'article provenant de la source Cambridge University Press

The intent of this paper is to show that the additive l-group of an f-ring S determines the ring structure. This is why there are so many papers that simply extend known results for abelian l-groups to f-rings. Theorem 3.1 asserts that there is a one-to-one correspondence between the f-multiplications on S and a set of homomorphisms from the positive cone of the l-group S into the positive cone of the ring (S) of polar preserving endomorphisms of the l-group S. In fact, each f-multiplication of S is determined by a homomorphism of S + into (S)+. 
Conrad, Paul. The Additive Group of an f-ring. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1157-1168. doi: 10.4153/CJM-1974-108-3
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