Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A class of naturally partly ordered commutative archimedean semigroups with maximal condition

Author: E. J. Tully
Journal: Proc. Amer. Math. Soc. 17 (1966), 1133-1139
MSC: Primary 06.70; Secondary 20.00
MathSciNet review: 0202871
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] A. H. Clifford, Naturally totally ordered commutative semigroups, Amer. J. Math. 76 (1954), 631–646. MR 0062118,
  • [2] A. H. Clifford and G. B. Preston, The algebraic theory of semigroups. Vol. I, Mathematical Surveys, No. 7, American Mathematical Society, Providence, R.I., 1961. MR 0132791
  • [3] L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford-London-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1963. MR 0171864
  • [4] E. S. Lyapin, Normal complexes of associative systems, Izvestiya Akad. Nauk SSSR. Ser. Mat. 14 (1950), 179–192 (Russian). MR 0034372
  • [5] Takayuki Tamura, Commutative nonpotent archimedean semigroup with cancelation law. I., J. Gakugei Tokushima Univ. 8 (1957), 5–11. MR 0096741
  • [6] -, Construction of commutative archimedean semigroups, Proceedings of the Conference on Algebraic Theory of Machines, Languages and Semigroups, Asilomar, Pacific Grove, California, 1966 (to appear).
  • [7] Takayuki Tamura and Naoki Kimura, On decompositions of a commutative semigroup, Kōdai Math. Sem. Rep. 6 (1954), 109–112. {Volume numbers not printed on issues until Vol. 7 (1955).}. MR 0067106

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06.70, 20.00

Retrieve articles in all journals with MSC: 06.70, 20.00

Additional Information

Article copyright: © Copyright 1966 American Mathematical Society

American Mathematical Society