Assertion: algebra's set | /r/HasProperty | group
Facets:
value: with respect to addition
type: OTHER
value: under ring multiplication
type: OTHER
Source sentences:
text: For example, the set of integers under the operation of addition is a group.
text: The set of units of a ring is a group under ring multiplication; this group is denoted by R × {\displaystyle R^{\times }} or R ∗ {\displaystyle R^{*}} or U ( R ) {\displaystyle U(R)} .
text: A set of remainders by modulo M, with respect to addition, is a group.
text: The set of all rotation in Euclidean spaces is a group.
text: They enjoy organizing multiple objects into specific “sets”, i.e., groups or categories.