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. Language: English