Title:
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Certain fundamental congruences on the tensor product of commutative inverse semigroups (English) |
Author:
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Kuroki, Nobuaki |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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23 |
Issue:
|
2 |
Year:
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1973 |
Pages:
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252-256 |
Summary lang:
|
English |
. |
Category:
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math |
. |
MSC:
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20M10 |
idZBL:
|
Zbl 0266.20060 |
idMR:
|
MR0315028 |
DOI:
|
10.21136/CMJ.1973.101164 |
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Date available:
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2008-06-09T14:01:30Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/101164 |
. |
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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