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Free products in varieties of lattice-ordered groups. (English) Zbl 0247.06022


MSC:

06F15 Ordered groups
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
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References:

[1] K. Baker: Free vector lattices. Canad. Jour. Math., 20 (1968), pp. 58 - 66. · Zbl 0157.43401 · doi:10.4153/CJM-1968-008-x
[2] S. Bernau: Free abelian lattice groups. Math. Ann., 180 (1969,) pp. 48 - 59. · Zbl 0157.36801 · doi:10.1007/BF01350085
[3] P. Cohn: Universal Algebra. Harper & Row (1965). · Zbl 0141.01002
[4] [4J P. Conrad: Free lattice-ordered groups. preprint. · Zbl 0213.31502
[5] L. Fuchs: Partially Ordered Algebraic Systems. Pergamon Press (1963). · Zbl 0137.02001
[6] J. Martinez: Tensor products of partially ordered groups. preprint. · Zbl 0242.06012 · doi:10.2140/pjm.1972.41.771
[7] B. Mitchell: Theory of Categories. Academic Press (1965). · Zbl 0136.00604 · doi:10.1007/BF01398232
[8] E. Weinberg: Free lattice-ordered abelian groups. Math. Ann., 151 (1963), pp. 187-199. · Zbl 0114.25801 · doi:10.1007/BF01398232
[9] E. Weinberg: Free lattice-ordered abelian groups II. Math. Ann., 159 (1965), pp. 217-222. · Zbl 0138.26201 · doi:10.1007/BF01362439
[10] S. Wolfenstein: Valeurs normales dans un groupe réticulé. Accad. Naz. dei Lincei, Rend. délia Classe die Scienze fisiche, matematiche e naturali, Serie VIII, vol. XLIV, fasc. 3, Mar. 1968. · Zbl 0174.06003
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