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Quasiregular element

In mathematics, specifically ring theory, the notion of quasiregularity provides a computationally convenient way to work with the Jacobson radical of a ring. In this article, we primarily concern ourselves with the notion of quasiregularity for unital rings. However, one section is devoted to the theory of quasiregularity in non-unital rings, which…

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Overview

Definition

Examples

Properties

Generalization to semirings

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Quasiregular element

Nodes44
Edges43
Triples26
Avg. degree1.95
Density0.045455
Components1

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Quasiregular element

Top relations

related to Generalization to semirings · 12
Quasiregular element → An, Daniel, Each, Examples, If, It, Kleene, Lehmann, More, The, This, We
related to Definition · 7
Quasiregular element → An, If, In, Let, The, Then, Therefore
related to Properties · 7
Quasiregular element → Elements, Every, However, If, In, Jacobson, This

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Important terminology

quasiregular element ring right displaystyle semirings semiring jacobson radical quasiregularity left notion quasi-inverse unital one rings idempotent every elements quasi-regular

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quasiregular elementrelated to DefinitionLet0.60section
Quasiregular elementrelated to DefinitionThen0.60section
Quasiregular elementrelated to DefinitionThe0.60section
Quasiregular elementrelated to DefinitionAn0.60section
Quasiregular elementrelated to DefinitionIf0.60section
Quasiregular elementrelated to DefinitionIn0.60section
Quasiregular elementrelated to DefinitionTherefore0.60section
Quasiregular elementrelated to Generalization to semiringsThe0.60section
Quasiregular elementrelated to Generalization to semiringsIf0.60section
Quasiregular elementrelated to Generalization to semiringsAn0.60section
Quasiregular elementrelated to Generalization to semiringsEach0.60section
Quasiregular elementrelated to Generalization to semiringsIt0.60section

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