Chinese Remainder TheoremExplores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.
Finite Dimensional SpacesExplores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Analyse 2: Division euclidienneExplores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Polynomial Identity TestingCovers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.
Factorisation in PIDsCovers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.