no. 1
A common abstraction of boolean rings and lattice ordered groups
Compositio Mathematica, Tome 54 (1985) no. 1, pp. 51-62. 
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     volume = {54},
     number = {1},
     year = {1985},
     mrnumber = {782385},
     zbl = {0561.06010},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1985__54_1_51_0/}
}
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Schmidt, Klaus D. A common abstraction of boolean rings and lattice ordered groups. Compositio Mathematica, Tome 54 (1985) no. 1, pp. 51-62. http://archive.numdam.org/item/CM_1985__54_1_51_0/

[1] G. Birkhoff: Lattice Theory (3rd edn.). Providence, Rhode Island: Amer. Math. Soc. (1967). | MR | Zbl

[2] H. Dinges: Zur Algebra der Masstheorie. Bull. Greek Math. Soc. 19 (1978) 25-97. | MR | Zbl

[3] V.V. Rama Rao: On a common abstraction of Boolean rings and lattice ordered groups I. Monatshefte Math. 73 (1969) 411-421. | MR | Zbl

[4] K.D. Schmidt: A general Jordan decomposition. Arch. Math. 38 (1982) 556-564. | MR | Zbl

[5] K.L.N. Swamy: Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965) 105-114. | MR | Zbl

[6] O. Wyler: Clans. Comp. Math. 17 (1966) 172-189. | Numdam | MR | Zbl