constructive-algebra

A library of algebra focusing mainly on commutative ring theory from a constructive point of view. Classical structures are implemented without Noetherian assumptions. This means that it is not assumed that all ideals are finitely generated. For example, instead of principal ideal domains one gets Bezout domains which are integral domains in which all finitely generated ideals are principal (and not necessarily that all ideals are principal). This give a good framework for implementing many interesting algorithms.