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Embedding semirings in semirings with multiplicative unit

  • K. R. Pearson (a1)

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A topological semiring is a system (S, +, ·) where (S, +) and (S, ·) are topological semigroups and · distributes across + as in a ring; that is, for all x, y, z in S, The operations + and · are called addition and multiplication respectively.

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References

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[1]Bourbaki, N., Topologie générale (Actualités scientifiques et industrielles no. 1142, 1961).
[2]Hewitt, E., ‘Compact monothetic semigroups’, Duke Math. J. 23 (1956), 447457.
[3]Hewitt, E. and Ross, K. A., Abstract harmonic analysis, Vol. 1 (Springer-Verlag, Berlin, 1963).
[4]Kurosh, A. G.Lectures on general algebra (Chelsea, New York, 1963).
[5]Miranda, A. B. Paalman-de, Topological semigroups (Mathematisch Centrum, Amsterdam, 1964).
[6]Selden, J., Theorems on topological semigroups and semirings (Doctoral Dissertation, University of Georgia, 1963).
[7]Selden, J., ‘A note on compact semiringsProc. Amer. Math. Soc. 17 (1966), 882886.
[8]Wallace, A. D., ‘The structure of topological semigroups’, Bull. Amer. Math. Soc. 61 (1955), 95112.
[9]Zassenhaus, H., The theory of groups (2nd ed., Chelsea, New York, 1958).
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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