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Die absteigende Loewy-Länge von Endomorphismenringen.

Rainer Schulz (1983)

Manuscripta mathematica

Die Translationshülle und wesentliche Erweiterungen eines zyklischen Ringes.

Mario Petrich, Ursula Müller (1971)

Journal für die reine und angewandte Mathematik

Dimension homologique de modules simples

Malliavin, Marie-Paule (1983/1984)

Portugaliae mathematica

Dimension in algebraic frames, II: Applications to frames of ideals in $C (X)$

Jorge Martinez, Eric R. Zenk (2005)

Commentationes Mathematicae Universitatis Carolinae

This paper continues the investigation into Krull-style dimensions in algebraic frames. Let $L$ be an algebraic frame. $dim (L)$ is the supremum of the lengths $k$ of sequences $p_{0} < p_{1} < \dots < p_{k}$ of (proper) prime elements of $L$ . Recently, Th. Coquand, H. Lombardi and M.-F. Roy have formulated a characterization which describes the dimension of $L$ in terms of the dimensions of certain boundary quotients of $L$ . This paper gives a purely frame-theoretic proof of this result, at once generalizing it to frames which are not necessarily...

Direct products of linearly compact primary rings

P. N. Anh (1986)

Rendiconti del Seminario Matematico della Università di Padova

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.