Abstract
The notion of semiring was first introduced by H.S. Vandiver in 1934, but implicitly semirings had appeared earlier in studies on the theory of ideals of rings (from R. Dedekind’s [1894] article onwards; see also F.S. Macaulay [1916], W. Krull [1924], E. Noether [1927], P. Lorenzen [1939]), and in studies on the axiomatization of the natural numbers and the nonnegative rational numbers (from D. Hilbert’s [1899] and E.V. Huntigton’s [1902b] articles onwards; see also W. Wilkosz [1936] for the notion of semifield). It is worth mentioning that N.H. Abel in 1826 considered some special kind of positive semifield over real numbers.
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© 2002 Springer Science+Business Media Dordrecht
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Głazek, K. (2002). Introduction. In: A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9964-1_1
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DOI: https://doi.org/10.1007/978-94-015-9964-1_1
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