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Uniform module

In abstract algebra, a module is called a uniform module if the intersection of any two nonzero submodules is nonzero. This is equivalent to saying that every nonzero submodule of M is an essential submodule. A ring may be called a right (left) uniform ring if it is uniform as a right (left) module over itself.

Uniform dimension of a module, Hollow modules and co-uniform dimension & Textbooks

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Overview

Properties and examples of uniform modules

Uniform dimension of a module

Hollow modules and co-uniform dimension

Textbooks

Primary sources

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Uniform module

Nodes40
Edges39
Triples22
Avg. degree1.95
Density0.05
Components1

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Uniform module

Top relations

related to Hollow modules and co-uniform dimension · 16
Uniform module → Equivalently, Fleury, Goldie, Grezeszcuk, Grzeszczuk, Miyashita, N1, N2, Puczylowski, Reiter, Reiter's, Studies, Takeuchi, The, These, Varadarajan
related to Properties and examples of uniform modules · 6
Uniform module → Any, Being, If N1, N2, The, Uniserial

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Important terminology

dimension uniform module modules finite goldie hollow submodules dual doi ring dim right also mr semisimple 10 submodule theorem rings

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Uniform modulerelated to Hollow modules and co-uniform dimensionThe0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionN10.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionN20.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionEquivalently0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionThese0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionGoldie0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionStudies0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionFleury0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionReiter0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionTakeuchi0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionVaradarajan0.60section
Uniform modulerelated to Hollow modules and co-uniform dimensionMiyashita0.60section

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