Abstract
We generalize Tamari’s 1948 classification of rings to near-rings. As suggested by Tamari, we find the situation is indeed different for “ring-like domains”.
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Dickson, L.E., Definitions of a group and a field by independent postulates, Transactions Amer. Math. Soc., 6(1905), 198–204.
Ore, O., Theory of non-commutative polynomials, Ann of Math., 34 (1933), 480–508.
Pilz, Günter, Near-rings, North Holland: Amsterdam, 1983.
Tamari, Dov, On a certain classification of rings and semigroups, Bulletin of the Amer. Math. Soc., 54 (1948), 153–158.
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Dedicated to Professor Dov Tamari
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© 2001 Springer Science+Business Media Dordrecht
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McGilvray, H., Maxson, C.J. (2001). On Dependence and Independence in Near-Rings. In: Fong, Y., Maxson, C., Meldrum, J., Pilz, G., van der Walt, A., van Wyk, L. (eds) Near-Rings and Near-Fields. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0954-6_14
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DOI: https://doi.org/10.1007/978-94-010-0954-6_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3802-7
Online ISBN: 978-94-010-0954-6
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