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### A Class of Balanced Non-Uniserial Rings.

Mathematische Annalen

### A combinatorial class number formula.

Journal für die reine und angewandte Mathematik

### A commutativity-or-finiteness condition for rings.

International Journal of Mathematics and Mathematical Sciences

### A comparison of deformations and geometric study of varieties of associative algebras.

International Journal of Mathematics and Mathematical Sciences

### A construction for quasi-hereditary algebras

Compositio Mathematica

### A Criterion for Finite Representation Type.

Mathematische Annalen

### A generalization of Mathieu subspaces to modules of associative algebras

Open Mathematics

We first propose a generalization of the notion of Mathieu subspaces of associative algebras $𝒜$ , 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 $𝒜$ -modules $ℳ$ . 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.

Mathematica Scandinavica

### A representation theorem for Chain rings

Colloquium Mathematicae

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”

Open Mathematics

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.

International Journal of Mathematics and Mathematical Sciences

### Algebraically Compact Rings and Modules.

Mathematische Zeitschrift

### Algebras and Quaternion Defect Groups. I.

Mathematische Annalen

### Algebras and Quaternion Defect Groups. II.

Mathematische Annalen

### Algebras with Cycle-Finite Derived Categories.

Mathematische Annalen

### Algebren, Darstellungsköcher, Ueberlagerungen und zurück.

Commentarii mathematici Helvetici

### Algèbres auto-injectives de représentation finie

Séminaire Bourbaki

### Algèbres de type de représentation fini

Séminaire Bourbaki

### Algunas observaciones acerca de matrices triangulares sobre anillos

Revista colombiana de matematicas

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