Assertion: algebra's set | /r/HasProperty | equipped with binary operation
Facets:
Source sentences:
text: The abstract concept of group in full generality is defined not in terms of a set of numbers but rather as an arbitrary set equipped with a binary operation \(xy\), a unary inverse \(x^{-1}\) of that operation, and a unit \(e\) satisfying certain equations characteristic of groups.
text: It consists of a set equipped with two binary operations that generalize the arithmetic operations of addition and multiplication.