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.
$b$-Addition $f$-multiplication $f$-grouplike decomposer function
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 17 Temmuz 2021 |
Yayımlandığı Sayı | Yıl 2021 |