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Transactions of the American Mathematical Society

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Regular $ \mathcal{D}$-classes in semigroups


Authors: D. D. Miller and A. H. Clifford
Journal: Trans. Amer. Math. Soc. 82 (1956), 270-280
MSC: Primary 20.0X
DOI: https://doi.org/10.1090/S0002-9947-1956-0078379-0
MathSciNet review: 0078379
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  • [1] J. A. Green, On the structure of semigroups, Ann. of Math. vol. 54 (1951) pp. 163-172. MR 0042380 (13:100d)
  • [2] A. E. Liber, On the theory of generalized groups, C. R. (Doklady) Acad. Sci. URSS. N. S. vol. 97 (1954) pp. 26-28 (Russian). MR 0062734 (16:9c)
  • [3] W. D. Munn and R. Penrose, A note on inverse semigroups, Proc. Cambridge Philos. Soc. vol. 51 (1955) pp. 396-399. MR 0070629 (17:10e)
  • [4] J. v. Neumann, On regular rings, Proc. Nat. Acad. Sci. U. S. A. vol. 22 (1936) pp. 707-713.
  • [5] D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. vol. 36 (1940) pp. 387-400. MR 0002893 (2:127g)
  • [6] A. Suschkewitsch, Über die endlichen Gruppen ohne das Gesetz der eindeutigen Umkehrbarkeit, Math. Ann. vol. 99 (1928) pp. 30-50. MR 1512437
  • [7] G. Thierrin, Sur les éléments inversifs et les éléments unitaires d'un demi-groupe inversif, C. R. Acad. Sci. Paris vol. 234 (1952) pp. 33-34. MR 0045708 (13:621a)
  • [8] V. V. Vagner, Generalized groups, C. R. (Doklady) Acad. Sci. URSS. N. S. vol. 84 (1952) pp. 1119-1122 (Russian). MR 0048425 (14:12b)

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DOI: https://doi.org/10.1090/S0002-9947-1956-0078379-0
Article copyright: © Copyright 1956 American Mathematical Society

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