Universal formulae of Euler-Fermat type for subsets of Zm

• Autores: Stefan Schwarz
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 46, Fasc. 1-2, 1995 (Ejemplar dedicado a: Professor Paul Dubreil (In memoriam )), págs. 183-194
• Idioma: inglés
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• Resumen

  • In several papers Paul Dubreil has studied the multiplicative semigroup of several types of rings and conditions for semigroups which can serve as an underlying semigroup of a ring. In this paper we shall deal with the multiplicative semigroup of $Z_m$, which will be denoted by $S(m)$, and we shall treat a rather unconventional problem concerning the powers of a subset of $S(m)$.

• Referencias bibliográficas
  • P. Dubreil, Fragmented rings, Proc. Royal Soc. of Edinburgh 78A (1978), 273–283.
  • P. Dubreil, Semigroups and rings, Proc. Royal Soc. of Edinburgh 78A (1978), 257–264.
  • G. Frobenius, Über endliche Gruppen, Sitzungsber. Akad. Wiss. Berlin (1895), 163–194.
  • Š. Schwarz, The role of semigroups in the elementary theory of numbers, Math. Slovaca 31 (1981), 369–395.
  • Š. Schwarz, Powers of subsets in a finite semigroup, Semigroup Forum, (to appear).