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Title: Certain fundamental congruences on the tensor product of commutative inverse semigroups (English)
Author: Kuroki, Nobuaki
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 23
Issue: 2
Year: 1973
Pages: 252-256
Summary lang: English
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Category: math
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MSC: 20M10
idZBL: Zbl 0266.20060
idMR: MR0315028
DOI: 10.21136/CMJ.1973.101164
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Date available: 2008-06-09T14:01:30Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101164
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Reference: [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 (vol. II). Zbl 0111.03403
Reference: [2] R. Fulp: Tensor and Torsion Products of Semigroups.Pacific J. Math., 32, 685-696 (1970). Zbl 0223.20080, MR 0272928, 10.2140/pjm.1970.32.685
Reference: [3] P. A. Grillet: The Tensor Product of Semigroups.Trans. Amer. Soc., 138, 267-280 (1969). Zbl 0191.01601, MR 0237687, 10.1090/S0002-9947-1969-0237687-X
Reference: [4] J. M. Howie: The Maximum Idempotent-separating Congruence on an Inverse Semigroup.Proc. Edinburgh Math. Soc., 14, 71-79 (1964). MR 0163976
Reference: [5] J. M. Howie, G. Lallement: Certain Fundamental Congruence on a Regular Semigroup.Proc Glasgow Math. Assoc., 7, 145-159 (1966). MR 0197598, 10.1017/S2040618500035334
Reference: [6] N. Kuroki: On the Minimal Group Congruence on the Tensor Product of Archimedean Commutative Semigroups.Proc. Japan Acad., 47, 305-308 (1971). Zbl 0228.20047, MR 0291041
Reference: [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, MR 0296188
Reference: [8] N. Kuroki: Note on Congruences on the Tensor Product of Commutative Inverse Semigroups.(to appear).
Reference: [9] G. Lallement: Congruences et equivalences de Green sur un demi-groupe regulier.С. R. Acad. Sc. Paris, 262, 613-616 (1966). Zbl 0136.26603, MR 0207872
Reference: [10] W. D. Munn: Fundamental Inverse Semigroups.Quart. J. Math. Oxford, 21, 157-170 (1970). Zbl 0219.20047, MR 0262402, 10.1093/qmath/21.2.157
Reference: [11] T. Tamura, N. Kimura: On Decompositions of a Commutative Semigroup.Kódai Math. Seminar Reports, 4, 109-112 (1954). Zbl 0058.01503, MR 0067106, 10.2996/kmj/1138843534
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