As adjectives the difference between algebraic and nonassociative

is that algebraic is of, or relating to, algebra while nonassociative is (of an algebraic structure) not having associativity of all elements under its operation.

As adjectives the difference between structure and nonassociative

is that structure is structured while nonassociative is (of an algebraic structure) not having associativity of all elements under its operation.

As a verb structure

is .

As a noun associativity

is (algebra) the condition of being associative.

As an adjective nonassociative is

(of an algebraic structure) not having associativity of all elements under its operation.

As a noun element

is one of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.

As an adjective nonassociative is

not having associativity of all elements under its operation.

As nouns the difference between binary and groupoid

is that binary is (mathematics|computing|uncountable) the bijective base-2 numeral system, which uses only the digits while groupoid is (algebra) a magma: a set with a total binary operation.

As an adjective binary

is being in a state of one of two mutually exclusive conditions such as on or off, true or false, molten or frozen, presence or absence of a signal.

As nouns the difference between operation and groupoid

is that operation is operation (method by which a device performs its function) while groupoid is (algebra) a magma: a set with a total binary operation.

As nouns the difference between partial and groupoid

is that partial is (mathematics) a partial derivative: a derivative with respect to one independent variable of a function in multiple variables while groupoid is (algebra) a magma: a set with a total binary operation.

As an adjective partial

is existing as a part or portion; incomplete.

As an adjective associative

is pertaining to, resulting from, or characterised by association; capable of associating; tending to associate or unite.

As a noun groupoid is

(algebra) a magma: a set with a total binary operation.

As a verb inverse

is .

As an adjective inverse

is inverted.

As a noun groupoid is

(algebra) a magma: a set with a total binary operation.

As an adjective hyperbolic

is of or relating to hyperbole or hyperbolic can be of or pertaining to a hyperbola.

As a noun hyperbolicity is

being hyperbolic.