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Another proof of a theorem concerning the greatest semilattice-decomposition of a semigroup. (English) Zbl 0135.04001

MSC:
20M99 Semigroups
Keywords:
group theory
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References:
[1] A. H. Clifford and G. B. Preston: The algebraic theory of semigroups, vol. 1. Math. Surveys, no. 7, Amer. Math. Soc, Providence, R. I. (1961). · Zbl 0111.03403
[2] M. Petrich: The maximal semilattice decomposition of a semigroup. Bull. Amer. Math. Soc, 69, 342-344 (1963). · Zbl 0113.02301
[3] T. Tamura and N. Kimura: Existence of greatest decomposition of a semigroup. Kodai Math. Sem. Rep., 7, 83-84 (1955). · Zbl 0067.01003
[4] T. Tamura: The theory of construction of finite semigroups I. Osaka Math. Jour., 8, 243-261 (1956). · Zbl 0073.01003
[5] T. Tamura: Operations on binary relations and their applications. Bull. Amer. Math. Soc, 70, 113-120 (1964). · Zbl 0221.04001
[6] M. Yamada: On the greatest semilattice decomposition of a semigroup. K5dai Math. Sem. Rep., 7, 59-62 (1955). · Zbl 0065.25203
[7] M. Yamada: The structure of separative bands. Dissertation (1962).
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