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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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$I$-bisimple semigroups
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by R. J. Warne PDF
Trans. Amer. Math. Soc. 130 (1968), 367-386 Request permission
References
    A. H. Clifford, A class of d-simple semigroups, Amer. J. Math. 75 (1953), 547-556. A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, Math. Surveys No. 7, Amer. Math. Soc., Providence, R. I., 1961. W. D. Munn, A certain sublattice of the lattice of congruences on a regular semigroup, Proc. Cambridge Philos. Soc. 60 (1964), 385-391. W. D. Munn and N. R. Reilly, Congruences on a bisimple $\omega$-semigroup, Proc. Glasgow Math. Assoc. 7 (1966), 184-192. G. B. Preston, Inverse semigroups, J. London Math. Soc. 29 (1954), 346-403. D. Rees, On the ideal structure of a semi-group satisfying a cancellation law, Quart. J. Math. Oxford Ser. 19 (1948), 101-108. N. R. Reilly, Bisimple $\omega$-semigroups, Proc. Glasgow Math. Assoc. 7 (1966), 160-169. R. J. Warne, Matrix representation of d-simple semigroups, Trans. Amer. Math. Soc. 106 (1963), 427-435. —, Homomorphisms of d-simple inverse semigroups with identity, Pacific J. Math. 14 (1964), 1111-1222. —, A characterization of certain regular d-classes in semigroups, Illinois J. Math. (1965), 304-306. R. J. Warne, Regular D-classes whose idempotent obey certain conditions, Duke Math. J. 33 (1966), 187-196. —, A class of bisimple inverse semigroups, Pacific J. Math. 18 (1966), 563-577. —, On certain bisimple inverse semigroups, Bull. Amer. Math. Soc. 72 (1966), 679-682. —, Homomorphisms of L-bisimple semigroups, (to appear). —, Extensions of I-bisimple semigroups, Canad. J. Math. 19 (1967), 419-426. —, Addendum to [15], Canad. J. Math., (to appear). —, Bisimple inverse semigroups mod groups, Duke Math. J. 34 (1967).
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 130 (1968), 367-386
  • MSC: Primary 20.93
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0223476-8
  • MathSciNet review: 0223476