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Displaying 41 – 60 of 224

Dual dimension of modules over normalizing extensions.

Ahmad Shamsuddin (1993)

Publicacions Matemàtiques

Let S = Σi=1n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) ≤ n · crk(SM) if either SM is artinian or the group homomorphism M → aiM given by x → aix is an isomorphism.

Dubrovnic, Valuation Rings and Henselization.

Adrian R. Wadsworth (1989)

Mathematische Annalen

Epis and monos which must be isos.

Fieldhouse, David J. (1984)

International Journal of Mathematics and Mathematical Sciences

Extending Derivations and Endomorphisms to Skew Polynomial Rings

Michael G. Voskoglou (1986)

Publications de l'Institut Mathématique

Extensions of Chain Rings.

Günter Törner, Hans-Heinrich Brungs (1984)

Mathematische Zeitschrift

$f$ -radical extensions of rings

Jeffrey Bergen, Antonio Giambruno (1987)

Rendiconti del Seminario Matematico della Università di Padova

Forms of Hopf algebras and Galois theory

B. Pareigis (1990)

Banach Center Publications

Free actions on semiprime rings

Muhammad Anwar Chaudhry, Mohammad S. Samman (2008)

Mathematica Bohemica

We identify some situations where mappings related to left centralizers, derivations and generalized $(α, β)$ -derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation $T$ , of a semiprime ring $R$ the mapping $ψ R \to R$ defined by $ψ (x) = T (x) x - x T (x)$ for all $x \in R$ is a free action. We also show that for a generalized $(α, β)$ -derivation $F$ of a semiprime ring $R,$ with associated $(α, β)$ -derivation $d,$ a dependent element $a$ of $F$ is also a dependent element of $α + d .$ Furthermore, we prove that for a centralizer $f$ and...

Fully rigid systems of modules

A. L. S. Corner (1989)

Rendiconti del Seminario Matematico della Università di Padova

Galois actions on rings and finite Galois coverings.

M. Auslander, I. Reiten, S.O. Smalo (1989)

Mathematica Scandinavica

Galois extensions as functors of comodules.

K.-H. Ulbrich (1987)

Manuscripta mathematica

Generalizations of Hopfian and co-Hopfian modules.

Wang, Yongduo (2005)

International Journal of Mathematics and Mathematical Sciences

Generalized E-algebras via λ-calculus I

Rüdiger Göbel, Saharon Shelah (2006)

Fundamenta Mathematicae

An R-algebra A is called an E(R)-algebra if the canonical homomorphism from A to the endomorphism algebra $E n d_{R} A$ of the R-module $_{R} A$ , taking any a ∈ A to the right multiplication $a_{r} \in E n d_{R} A$ by a, is an isomorphism of algebras. In this case $_{R} A$ is called an E(R)-module. There is a proper class of examples constructed in [4]. E(R)-algebras arise naturally in various topics of algebra. So it is not surprising that they were investigated thoroughly in the last decades; see [3, 5, 7, 8, 10, 13, 14, 15, 18, 19]. Despite...

Currently displaying 41 – 60 of 224

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Displaying 41 – 60 of 224

Dual dimension of modules over normalizing extensions.

Dubrovnic, Valuation Rings and Henselization.

Epis and monos which must be isos.

Extending Derivations and Endomorphisms to Skew Polynomial Rings

Extensions of Chain Rings.

$f$ -radical extensions of rings

Forms of Hopf algebras and Galois theory

Free actions on semiprime rings

Fully rigid systems of modules

Galois actions on rings and finite Galois coverings.

Galois extensions as functors of comodules.

Generalizations of Hopfian and co-Hopfian modules.

Generalized E-algebras via λ-calculus I

Generators for the divided powers algebra of an algebra and trace identities

Global Dimension of Differential Operator Rings. IV - Simple Modules.

Grothendieck groups of invariant ring: linear actions of finite groups.

Group graded rings and smash products

Groups of periods for arbitrary maps on groups.

Groups of simple algebras

Higher order derivations of modules

Currently displaying 41 – 60 of 224