Kurepa's functional equation on semigroups.

Bruce R. Ebanks

Stochastica (1982)

  • Volume: 6, Issue: 1, page 39-55
  • ISSN: 0210-7821

Abstract

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The functional equation to which the title refers is:F(x,y) + F(xy,z) = F(x,yz) + F(y,z),where x, y and z are in a commutative semigroup S and F: S x S --> X with (X,+) a divisible abelian group (Divisibility means that for any y belonging to X and natural number n there exists a (unique) solution x belonging to X to nx = y).

How to cite

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Ebanks, Bruce R.. "Kurepa's functional equation on semigroups.." Stochastica 6.1 (1982): 39-55. <http://eudml.org/doc/38865>.

@article{Ebanks1982,
abstract = {The functional equation to which the title refers is:F(x,y) + F(xy,z) = F(x,yz) + F(y,z),where x, y and z are in a commutative semigroup S and F: S x S --&gt; X with (X,+) a divisible abelian group (Divisibility means that for any y belonging to X and natural number n there exists a (unique) solution x belonging to X to nx = y).},
author = {Ebanks, Bruce R.},
journal = {Stochastica},
keywords = {Ecuaciones funcionales; Grupos; Kurepa's functional equation; commutative semigroup; divisible Abelian group; Gaussian semigroup},
language = {eng},
number = {1},
pages = {39-55},
title = {Kurepa's functional equation on semigroups.},
url = {http://eudml.org/doc/38865},
volume = {6},
year = {1982},
}

TY - JOUR
AU - Ebanks, Bruce R.
TI - Kurepa's functional equation on semigroups.
JO - Stochastica
PY - 1982
VL - 6
IS - 1
SP - 39
EP - 55
AB - The functional equation to which the title refers is:F(x,y) + F(xy,z) = F(x,yz) + F(y,z),where x, y and z are in a commutative semigroup S and F: S x S --&gt; X with (X,+) a divisible abelian group (Divisibility means that for any y belonging to X and natural number n there exists a (unique) solution x belonging to X to nx = y).
LA - eng
KW - Ecuaciones funcionales; Grupos; Kurepa's functional equation; commutative semigroup; divisible Abelian group; Gaussian semigroup
UR - http://eudml.org/doc/38865
ER -

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