A Class of Balanced Non-Uniserial Rings.
A combinatorial class number formula.
A commutativity-or-finiteness condition for rings.
A comparison of deformations and geometric study of varieties of associative algebras.
A construction for quasi-hereditary algebras
A Criterion for Finite Representation Type.
A generalization of Mathieu subspaces to modules of associative algebras
We first propose a generalization of the notion of Mathieu subspaces of associative algebras , which was introduced recently in [Zhao W., Generalizations of the image conjecture and the Mathieu conjecture, J. Pure Appl. Algebra, 2010, 214(7), 1200–1216] and [Zhao W., Mathieu subspaces of associative algebras], to -modules . The newly introduced notion in a certain sense also generalizes the notion of submodules. Related with this new notion, we also introduce the sets σ(N) and τ(N) of stable...
A non-commutative minimally non-Noetherian ring.
A representation theorem for Chain rings
A ring A is called a chain ring if it is a local, both sided artinian, principal ideal ring. Let R be a commutative chain ring. Let A be a faithful R-algebra which is a chain ring such that Ā = A/J(A) is a separable field extension of R̅ = R/J(R). It follows from a recent result by Alkhamees and Singh that A has a commutative R-subalgebra R₀ which is a chain ring such that A = R₀ + J(A) and R₀ ∩ J(A) = J(R₀) = J(R)R₀. The structure of A in terms of a skew polynomial ring over R₀ is determined.
Addendum to “Ring elements as sums of units”
We give a comment to Theorem 1.1 published in our paper “Ring elements as sums of units” [Cent. Eur. J. Math., 2009, 7(3), 395–399].
Admissible groups, symmetric factor sets, and simple algebras.
Algebraically Compact Rings and Modules.
Algebras and Quaternion Defect Groups. I.
Algebras and Quaternion Defect Groups. II.
Algebras with Cycle-Finite Derived Categories.
Algebren, Darstellungsköcher, Ueberlagerungen und zurück.
Algèbres auto-injectives de représentation finie
Algèbres de type de représentation fini
Algunas observaciones acerca de matrices triangulares sobre anillos