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In this paper we show that every n-additive symmetric function, between quite general structures like abelian groups and semigroups, can be factorized into a composition of additive function with the… Click to show full abstract
In this paper we show that every n-additive symmetric function, between quite general structures like abelian groups and semigroups, can be factorized into a composition of additive function with the product of additive functions. We also show that every two n-additive functions, defined on a product of groups, with equal counterimages of the positive half-line must be proportional.
Keywords:
additive symmetric;
multi additive;
form multi;
symmetric functions
Journal Title: Results in Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!