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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

The tensor product of semigroups


Author: Pierre-Antoine Grillet
Journal: Trans. Amer. Math. Soc. 138 (1969), 267-280
MSC: Primary 20.93
MathSciNet review: 0237687
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  • [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., 1962, reprint 1964.
  • [2] Paul Dubreil, Contribution à la théorie des demi-groupes, Mém. Acad. Sci. Inst. France (2) 63 (1941), no. 3, 52. MR 0016424 (8,15a)
  • [3] Pierre-Antoine Grillet, Quelques propriétés des catégories non abéliennes, C. R. Acad. Sci. Paris Sér. A-B 266 (1968), A550–A552 (French). MR 0230792 (37 #6351b)
  • [4] -, La suite exacte d'homologie dans une catégorie non-abélienne, C. R. Acad. Sci. Paris Sér. A 266 (1968), 604-606.
  • [5] N. Kimura, Identity $ {(xy)^n} = {x^n}{y^n}$ on semigroups, (to appear).
  • [6] Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Bd. 114, Academic Press Inc., Publishers, New York, 1963. MR 0156879 (28 #122)
  • [7] Takayuki Tamura and Naoki Kimura, Existence of greatest decomposition of a semigroup, Kōdai Math. Sem. Rep. 7 (1955), 83–84. MR 0080102 (18,192b)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1969-0237687-X
PII: S 0002-9947(1969)0237687-X
Article copyright: © Copyright 1969 American Mathematical Society