| Autor: |
Ebanks Bruce |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Annales Mathematicae Silesianae, Vol 38, Iss 1, Pp 18-28 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2391-4238 |
| DOI: |
10.2478/amsil-2023-0026 |
| Popis: |
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−1, 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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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