On I-Rigid and q-Rigid Rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1998 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 50, pages 1,125-1,130 (issn: 0041-5995, eissn: 1573-9376,

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Authors: Artemovych, O. D.;

doi: 10.1007/bf02528823

On I-Rigid and q-Rigid Rings

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Abstract

According to the definition rigid rings have a unit and only trivial endomorphisms. The paper deals with \(I\)-rigid rings (\(q\)-rigid rings) all ideals (factor-rings) of which are rigid. The author describes \(q\)-rigid rings with unit which have no simple non-commutative homomorphic images. All types of non-simple \(I\)-rings with unit are obtained.

Related Organizations

Taras Shevchenko National University of Kyiv
Ukraine
IE University
Spain

Keywords

local rings, rigid rings, Other classes of modules and ideals in associative algebras, Automorphisms and endomorphisms

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