3.19 Mathematics (algebraic structure)

Procedures for algebraic structure.

Function: addable? obj

Function: subtractable? obj

Function: multipliable? obj

Function: dividable? obj

Function: negatable? obj

Function: invertable? obj

checks the object is addable, subtractable, multipliable, dividable, negatable and invertable, respectively.
If the result is #t, the object can apply procedure +, -, *, /, one argument - and one argument /, respectively.

Function: ring? obj

returns #t if the object is a ring.
If the result is #t, the object can apply procedure +, - and *.

Function: field? obj

returns #t if the object is a field.
If the result is #t, the object can apply procedure +, -, * and /.

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