Summary
The following paper is concerned with the extension of the usual ring concept to the case where the underlying group and semigroup are respectively ann-ary group and anm-ary semigroup. Most attention has been paid to homomorphism theorems and to some idealtheoretic aspects.
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References
W. Dörnte, Untersuchungen über einen verallgemeinerten Gruppenbegriff. Mathematische Zeitschrift29 (1928) 1–19.
E. L. Post, Polyadic groups. Transactions of the American Mathematical Society48 (1940) 208–350.
F. M. Sioson, Cyclic and homogeneousm-semigroups. Procedings of the Japan Academy39 (1963) 444–449.
F. M. Sioson, Ideals in (m+1)-semigroups. Annali di Matematica Pura ed Applicata, serie quarto, tomo LXVIII (1965) 161–200.
J. Timm, Kommutativen-gruppen. Dissertation Hamburg 1967.
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Crombez, G. On (n, m)-rings. Abh.Math.Semin.Univ.Hambg. 37, 180–199 (1972). https://doi.org/10.1007/BF02999695
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DOI: https://doi.org/10.1007/BF02999695