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The word problem in free normal valued lattice-ordered groups: A solution and practical shortcuts. (English) Zbl 0453.06012

MSC:

06F15 Ordered groups
08A50 Word problems (aspects of algebraic structures)
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References:

[1] L. Fuchs,Partially ordered algebraic systems, Addison-Wesley, Reading, Mass., 1963. · Zbl 0137.02001
[2] A. M. W. Glass,Ordered permutation groups, Bowling Green State University, Bowling Green, Ohio, 1976. · Zbl 0352.06010
[3] A. M. W. Glass, W. C. Holland, andS. H. McCleary,The structure of l-group varieties, Algebra Universalis10 (1980), 1–20. · Zbl 0439.06013 · doi:10.1007/BF02482885
[4] W. C. Holland,The largest proper variety of lattice ordered groups, Proc. Amer. Math. Soc.,57 (1976), 25–28. · Zbl 0339.06011 · doi:10.1090/S0002-9939-1976-0406902-0
[5] W. C. Holland andS. H. McCleary,Wreath products of ordered permutation groups, Pacific J. Math.31 (1969), 703–716. · Zbl 0206.31804
[6] W. C. Holland andS. H. McCleary,Solvability of the word problem in free lattice-ordered groups. Houston J. Math.5 (1979), 99–105. · Zbl 0387.06011
[7] N. G. Kisamov,Universal theory of lattice-ordered abelian groups, Algebra and Logic5 (1966), 71–76.
[8] S. H. McCleary,Generalized wreath products viewed as sets with valuation, J. of Algebra16 (1970), 163–182. · Zbl 0213.30001 · doi:10.1016/0021-8693(70)90022-0
[9] S. H. McCleary,A solution of the word problem in free normal-valued lattice-ordered groups, inOrdered Groups: Proceedings of the Boise State Conference, Lecture Notes in Pure and Applied Mathematics 62 (1980), J. E. Smith, G. O. Kenny, and R. N. Ball (editors), Dekker New York.
[10] T. S. Motzkin, H. Raiffa, G. L. Thompson, andR. M. Thrall,The double description method, Contribution to the theory of games (vol. 2), H. W. Kuhn and A. W. Tucker (editors), Annals of Mathematical Studies, no. 28, Princeton University Press, Princeton, N. J., 1953. · Zbl 0050.14201
[11] E. Weinberg,Free lattice-ordered abelian groups, Math. Ann.151 (1963), 187–199. · Zbl 0114.25801 · doi:10.1007/BF01398232
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