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Keywords:
partially ordered quasigroup; partially ordered loop; Riesz quasigroup; congruence relation; ideal
partially ordered quasigroup; partially ordered loop; Riesz quasigroup; congruence relation; ideal
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References:
[1] Belousov, V. D.: Foundations of the theory of quasigroups and loops. Nauka Moscow (1967), Russian. MR 0218483
[2] Birkhoff, G.: Lattice Theory, Amer. Math. Soc., Providence, RI. (1967). MR 0227053
[3] Burris, S., Sankappanavar, A.: A Course in Universal Algebra. Springer-Verlag New York, Heidelberg, Berlin (1981). Zbl 0478.08001
[4] Demko, M.: Lexicographic product decompositions of partially ordered quasigroups. Math. Slovaca 51 (2001), 13-24. MR 1817719 | Zbl 0986.06012
[5] Fuchs, L.: Riesz groups. Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 19 (1965), 1-34. MR 0180609 | Zbl 0125.28703
[6] Kiokemeister, F.: A theory of normality for quasigroups. Amer. J. Math. 70 (1948), 99-106. MR 0023252
[7] Lihová, J.: On Riesz groups. Tatra Mt. Math. Publ. 27 (2003), 163-176. MR 2026649 | Zbl 1065.06016
[8] Naik, N., Swammy, B. L. N., Misra, S. S.: Lattice ordered commutative loops. Math. Semin. Notes, Kobe Univ. 8 (1980), 57-71. MR 0590165
[9] Naik, N., Swammy, B. L. N.: Ideal theory in lattice ordered commutative Moufang loops. Math. Semin. Notes, Kobe Univ. 8 (1980), 443-453. MR 0615863
[10] Testov, V. A.: Left-positive Riesz quasigroups. Problems in the theory of webs and quasigroups. 158 (1985), Gos. univ., Kalinin 81-83 Russian. MR 0857474
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