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Generalized Polynomials on Semigroups: This paper is dedicated to Kazimierz Nikodem on the occasion of his 70th birthday.
- Source :
- Annales Mathematicae Silesianae; Mar2024, Vol. 38 Issue 1, p18-28, 11p
- Publication Year :
- 2024
-
Abstract
- This article has two main parts. In the first part we show that some of the basic theory of generalized polynomials on commutative semi-groups can be extended to all semigroups. In the second part we show that if a sub-semigroup S of a group G generates G in the sense that G = S · S<superscript>−1</superscript>, then a generalized polynomial on S with values in an Abelian group H can be extended to a generalized polynomial on G into H. Finally there is a short discussion of the extendability of exponential functions and generalized exponential polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- GENERALIZATION
HOMOMORPHISMS
POLYNOMIALS
ABELIAN groups
EXPONENTIAL functions
Subjects
Details
- Language :
- English
- ISSN :
- 08602107
- Volume :
- 38
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Annales Mathematicae Silesianae
- Publication Type :
- Academic Journal
- Accession number :
- 176268154
- Full Text :
- https://doi.org/10.2478/amsil-2023-0026