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Some remarks on a paper by R. H. Bruck. (English) Zbl 0072.02003

Keywords:
Lattices; Rings; Fields
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References:
[1] Rafael Artzy, On loops with a special property, Proc. Amer. Math. Soc. 6 (1955), 448 – 453. · Zbl 0066.27101
[2] R. H. Bruck, Analogues of the ring of rational integers, Proc. Amer. Math. Soc. 6 (1955), 50 – 58. · Zbl 0064.03002
[3] I. M. H. Etherington, Non-associative arithmetics, Proc. Roy. Soc. Edinburgh. Sect. A. 62 (1949), 442 – 453. · Zbl 0033.01102
[4] Trevor Evans, On multiplicative systems defined by generators and relations. I. Normal form theorems, Proc. Cambridge Philos. Soc. 47 (1951), 637 – 649. · Zbl 0043.02001
[5] Trevor Evans, On multiplicative systems defined by generators and relations. II. Monogenic loops, Proc. Cambridge Philos Soc. 49 (1953), 579 – 589. · Zbl 0051.01102
[6] Trevor Evans and B. H. Neumann, On varieties of groupoids and loops, J. London Math. Soc. 28 (1953), 342 – 350. · Zbl 0050.01705 · doi:10.1112/jlms/s1-28.3.342 · doi.org
[7] Hélène Popova, Sur la logarithmétique d’une boucle, C. R. Acad. Sci. Paris 236 (1953), 1220 – 1222 (French). · Zbl 0048.01207
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