معلومات المقرر

    Algebra is a field of mathematics that enables us to express the properties of operations and the treatment of equations and results in studying algebraic structures. Depending on the level of study considered, it can be described as general algebra (abstract) and linear algebra. Abstract algebra is concerned with:

    ⋅ Generalized arithmetic, extending the usual operations on numbers to different objects or quantities,

    ⋅ Equation and polynomial theory,

    ⋅ Algebraic structures.

    Algebraic structures have historically appeared in several fields of mathematics, and have not been studied separately. This is why general algebra has many connections with all branches of mathematics, a large number of types of algebraic structures verify different axioms (groups, rings, fields, vector spaces,...etc.). For these different types of networks, we define a concept of homomorphism and constructions of analogous structures or structures with similar properties (substructures, quotients, products, etc.).course algebra