Group structure and the axiom of choice
id:
group-structure-and-the-axiom-of-choice-278-15266438
title:
Group structure and the axiom of choice
text:
In mathematics a group is a set together with a binary operation on the set called multiplication that obeys the group axioms. The axiom of choice is an axiom of ZFC set theory which in one form states that every set can be wellordered. In ZF set theory, i.e. ZFC without the axiom of choice, the following statements are equivalent: For every nonempty set X there exists a binary operation • such that is a group.
The axiom of choice is true.
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Group_structure_and_the_axiom_of_choice
date created:
date modified:
2021-04-09T21:55:47Z
main entity:
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13
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