These are proceedings of the "Algebra Conference - Venezia 2002", held at Venice International University in June 2002. The volume contains recent results in six main areas of contemporary algebra presented at the conference: abelian groups, algebras and their representations, commutative rings, module theory, ring theory, and topological algebraic structures. The volume consists of 38 research papers, whose authors and coauthors include some leading experts in the area (including L. Fuchs, R. Gilmer, and S. Shelah). Since the commutative ring section of the conference was dedicated to the 30-year anniversary of the publication of Gilmer's "Multiplicative Ideal Theory", the volume also contains a 27-page survey by Gilmer of the main developments in commutative ring theory in past decades. The book is indispensable for anyone interested in current trends and methods of ring and module theory.