On a refinement in the classification of the nil rings
On a Substitution Property of Modules.
On a variant of quasi-injectivity via kernel functors
On abelian separable extensions and Galois sets of rings
On algebraically compact semigroup rings.
On algebras of strongly unbounded representation type.
On Anti-inverse Rings
On anti-inverse rings.
On artin algebras with almost all indecomposable modules of projective or injective dimension at most one
Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with co-finite in ind A, quasi-tilted algebras and...
On Auslander–Reiten components for quasitilted algebras
An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.
On automorphisms of Weyl algebra
On *-autonomous categories of topological modules.
On Bernstein-Gelfand-Gelfand equivalence and tilting theory
On biregular and regular rings
On center-like elements in rings.
On certain classes of modules.
Let X be a class or R-modules containing 0 and closed under isomorphic images. With any such X we associate three classes ΓX, FX and ΔX. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.
On clean ideals.
On coalgebras and linearly topological rings
On corings and comodules
It is shown that the categories of -coalgebras for a commutative unital ring and the category of -corings for some -algebra as well as their respective categories of comodules are locally presentable.
On countable von Neumann regular rings