Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.Contents:Krull Monoids and Their Application in Module Theory (A Facchini)Infinite Progenerator Sums (A Facchini & L S Levy)Quadratic Algebras of Skew Type (E Jespers & J Oknínski)Representation Type of Commutative Noetherian Rings (Introduction) (L Klingler & L S Levy)Corner Ring Theory: A Generalization of Peirce Decompositions (T-Y Lam)Quasideterminants and Right Roots of Polynomials Over Division Rings (B L Osofsky)Injective Dimension Relative to a Torsion Theory (P F Smith)and other papersReadership: Algebraists, mathematicians interested in the connections between algebra and other fields, and graduate students interested in algebra.