Carrier quantity

The carrier set is a term used in abstract algebra . The carrier set is the set from which an algebraic structure is formed with the help of a set of connections . An example of a carrier set is the set from which the elements of a group come. ${\displaystyle G}$ ${\displaystyle (G;\circ ,e)}$

The structure is usually named after the amount of support it contains. However, this often makes it necessary to mark the structure in such a way that, on the one hand, the membership in the set of carriers is recognizable and, on the other hand, the two designations cannot be confused.

Possible types of notation are:

• Bold: ${\displaystyle \mathbf {G} =(G;\circ ,e),}$
• calligraphic symbols: ${\displaystyle {\mathcal {G}}=(G;\circ ,e),}$
• Fracture: ${\displaystyle {\mathfrak {G}}=(G;\circ ,e),}$
• Underlined: ${\displaystyle {\underline {G}}=(G;\circ ,e).}$