Complex sentence: In mathematics the term differential calculus over commutative algebras is a part of commutative algebra based on the observation that most concepts known from classical differential calculus can be formulated in purely algebraic terms.
Split into simpler sentences: In mathematics the term differential calculus over commutative algebras refers to a part of commutative algebra. It is based on the observation that most concepts known from classical differential calculus can be formulated in purely algebraic terms.