Overview

Generalized Deviations of Posets with Applications to Chain Conditions on Modules.- Stability Properties of Exchange Rings.- Good Conditions for the Total.- Semicentral Reduced Algebras.- On Generalizations of Injectivity.- Auslander-Gorenstein Rings for Beginners.- The Flat Cover Conjecture and Its Solution.- Some Results on Skew Polynomial Rings over a Reduced Ring.- Derived Equivalences and Tilting Theory.- CS-Property of Direct Sums of Uniform Modules.- Generalized Principally Injective Maximal Ideals.- The Module of Differentials of a Noncommutative Ring Extension.- Dual Bimodules and Nakayama Permutations.- The Coinduced Functor and Homological Properties of Hopf Modules.- Hopf Algebra Coaction and Its Application to Group-Graded Rings.- Non-Commutative Valuation Rings and Their Global Theories.- On the Maximal t-Corational Extensions of Modules.- On Values of Cyclotomic Polynomials.- Generalized Jordan Derivations.- On Quasi-Frobenius Rings.- Theories of Harada in Artinian Rings and Applications to Classical Artinian Rings.- On Some Dimensions of Modular Lattices and Matroids.- On Torsion-free Modules over Valuation Domains.- Hecke Orders, Cellular Orders and Quasi-Hereditary Orders.- Some Kind of Duality.- On Inertial Subalgebras of Certain Rings.- Some Recent Results on Hopficity, Co-hopficity and Related Properties.- Some Studies on QcF-coalgebras.- Finitely Pseudo-Frobenius Rings.- Surjectivity of Linkage Maps.- Infinite Quivers and Cohomology Groups.- Open Problems.