$f$-REPRESENTATIVES GROUPS
The $b$-parts, $b$-addition of real numbers and some of their
extensions (e.g., $f$-multiplications) were introduced and studied
by the author. In this paper, we introduce $f$-representatives
groups of a given group $(G,\cdot)$ which can be considered as a
generalization of the group of the least non-negative residues
(modulo $n$). Thereafter, we study some of their important
properties and their relations among the ground group $(G,\cdot)$,
a related quotient group, and $f$-grouplikes. Finally, many
equivalent conditions for $f$-representatives groups and several
examples in the group of real numbers are given.
Keywords:
$b$-Addition, $f$-multiplication, $f$-grouplike decomposer function,
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- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI