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Semilattice congruences viewed from quasi-orders. (English) Zbl 0275.20106


MSC:

20M99 Semigroups
20M10 General structure theory for semigroups
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References:

[1] Mohan S. Putcha, Minimal sequences in semigroups, Trans. Amer. Math. Soc. 189 (1974), 93 – 106. · Zbl 0282.20055
[2] Takayuki Tamura, The theory of construction of finite semigroups. I, Osaka Math. J. 8 (1956), 243 – 261. · Zbl 0073.01003
[3] Takayuki Tamura, Another proof of a theorem concerning the greatest semilattice-decomposition of a semigroup, Proc. Japan Acad. 40 (1964), 777 – 780. · Zbl 0135.04001
[4] T. Tamura, The theory of operations on binary relations, Trans. Amer. Math. Soc. 120 (1965), 343-358; errata, ibid. 123 (1965), 273. · Zbl 0145.02101
[5] Takayuki Tamura, Note on the greatest semilattice decomposition of semigroups, Semigroup Forum 4 (1972), 255 – 261. · Zbl 0261.20058 · doi:10.1007/BF02570795
[6] -, Quasi-orders, generalized archimedeaness and semilattice decomposition (to appear). · Zbl 0325.06002
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