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Displaying 381 – 400 of 677

On regular endomorphism rings of topological Abelian groups

Horea Florian Abrudan (2011)

Czechoslovak Mathematical Journal

We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups $A$ for which ${End}_{c} (A)$ is regular is given.

On regular rings

S. Lajos, F. Szasz (1976)

Matematički Vesnik

On Regular Rings and Self-Injective Rings.

Roger Yue Chi Ming (1981)

Monatshefte für Mathematik

On Regular Rings and Self-injective Rings, iv

Roger Yue Chi Ming (1989)

Publications de l'Institut Mathématique

On Regular Rings and V-Rings.

Robert Yue Chi Ming (1979)

Monatshefte für Mathematik

On ...-regular rings with no infinite trivial subring.

Yasuyuki Hirano (1988)

Mathematica Scandinavica

On regular ring-semigroups and semirings

John Zeleznikow (1984)

Commentationes Mathematicae Universitatis Carolinae

On regular semigroup rings.

A.V. Kelarev (1990)

Semigroup forum

On restrictions of indecomposables of tame algebras

R. Bautista, E. Pérez, L. Salmerón (2011)

Colloquium Mathematicae

We continue the study of ditalgebras, an acronym for "differential tensor algebras", and of their categories of modules. We examine extension/restriction interactions between module categories over a ditalgebra and a proper subditalgebra. As an application, we prove a result on representations of finite-dimensional tame algebras Λ over an algebraically closed field, which gives information on the extension/restriction interaction between module categories of some special algebras Λ₀, called convex...

On rings close to regular and $p$ -injectivity

Roger Yue Chi Ming (2006)

Commentationes Mathematicae Universitatis Carolinae

The following results are proved for a ring $A$ : (1) If $A$ is a fully right idempotent ring having a classical left quotient ring $Q$ which is right quasi-duo, then $Q$ is a strongly regular ring; (2) $A$ has a classical left quotient ring $Q$ which is a finite direct sum of division rings iff $A$ is a left $TC$ -ring having a reduced maximal right ideal and satisfying the maximum condition on left annihilators; (3) Let $A$ have the following properties: (a) each maximal left ideal of $A$ is either a two-sided ideal...

On rings with a unique proper essential right ideal

O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)

Fundamenta Mathematicae

Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and is Artin semisimple...

On rings with zero total.

Beidar, K.I. (1997)

Beiträge zur Algebra und Geometrie

On Roth's pseudo equivalence over rings.

Hartwig, R.E., Patricio, Pedro (2007)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On selfinjective algebras of Euclidean type

Helmut Lenzing, Andrzej Skowroński (1999)

Colloquium Mathematicae

On semiabelian $π$ -regular rings.

Chen, Weixing (2007)

International Journal of Mathematics and Mathematical Sciences

On Signatures of Green Functors.

Andreas W.M. Dress (1975)

Mathematische Zeitschrift

On split-by-nilpotent extensions

Ibrahim Assem, Dan Zacharia (2003)

Colloquium Mathematicae

Let A and R be two artin algebras such that R is a split extension of A by a nilpotent ideal. We prove that if R is quasi-tilted, or tame and tilted, then so is A. Moreover, generalizations of these properties, such as laura and shod, are also inherited. We also study the relationship between the tilting R-modules and the tilting A-modules.

On stable equivalences of module subcategories over a semiperfect noetherian ring

Noritsugu Kameyama, Yuko Kimura, Kenji Nishida (2014)

Colloquium Mathematicae

Given a semiperfect two-sided noetherian ring Λ, we study two subcategories $_{k} (Λ) = M \in m o d Λ | E x t_{Λ}^{j} (T r M, Λ) = 0 (1 \leq j \leq k)$ and $_{k} (Λ) = N \in m o d Λ | E x t_{Λ}^{j} (N, Λ) = 0 (1 \leq j \leq k)$ of the category mod Λ of finitely generated right Λ-modules, where Tr M is Auslander’s transpose of M. In particular, we give another convenient description of the categories $_{k} (Λ)$ and $_{k} (Λ)$ , and we study category equivalences and stable equivalences between them. Several results proved in [J. Algebra 301 (2006), 748-780] are extended to the case when Λ is a two-sided noetherian semiperfect ring.

On stable K-theory and topological Hochschild homology.

Stanislaw Betley (1992)

Commentarii mathematici Helvetici

On the Auslander-Reiten valued quiver of right peak rings

Bogumiła Klemp, Daniel Simson (1990)

Fundamenta Mathematicae

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