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Certain fundamental congruences on the tensor product of commutative inverse semigroups. (English) Zbl 0266.20060


MSC:

20M10 General structure theory for semigroups
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References:

[1] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups. Math. Surveys of the Amer. Math. Soc. 7, Providence, R. I., 1961 (vol. I) and 1967 · Zbl 0111.03403
[2] R. Fulp: Tensor and Torsion Products of Semigroups. Pacific J. Math., 32, 685-696 (1970). · Zbl 0223.20080 · doi:10.2140/pjm.1970.32.685
[3] P. A. Grillet: The Tensor Product of Semigroups. Trans. Amer. Soc., 138, 267-280 (1969). · Zbl 0191.01601 · doi:10.2307/1994914
[4] J. M. Howie: The Maximum Idempotent-separating Congruence on an Inverse Semigroup. Proc. Edinburgh Math. Soc., 14, 71-79 (1964). · Zbl 0123.01701 · doi:10.1017/S0013091500011251
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[7] N. Kuroki: Note on Congruences on the Tensor Product of Archimedean Commutative Semigroups. Commentarii Mathematici Universitatis Sancti Pauli 20, 93-96 (1972). · Zbl 0244.20075
[8] N. Kuroki: Note on Congruences on the Tensor Product of Commutative Inverse Semigroups. · Zbl 0266.20060
[9] G. Lallement: Congruences et equivalences de Green sur un demi-groupe regulier. C. R. Acad. Sc. Paris, 262, 613-616 (1966). · Zbl 0136.26603
[10] W. D. Munn: Fundamental Inverse Semigroups. Quart. J. Math. Oxford, 21, 157-170 (1970). · Zbl 0219.20047 · doi:10.1093/qmath/21.2.157
[11] T. Tamura, N. Kimura: On Decompositions of a Commutative Semigroup. Kódai Math. Seminar Reports, 4, 109-112 (1954). · Zbl 0058.01503 · doi:10.2996/kmj/1138843534
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