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Module $M_{ 4 }$
$M_n(\mathbb Q)$ over
$M_n(\mathbb Q)$
Description:
Right regular module of $M_n(\mathbb Q)$
Reference(s):
(Citation needed)
Properties
Dimensions
Subsets
Known Properties
Name
singular
torsion (naive)
brick
distributive
divisible (naive)
hollow
indecomposable
local
simple
simple socle
strongly indecomposable
subdirectly irreducible
torsion (regular element)
uniform
uniserial
$R_R$
amply supplemented
Artinian
Bass module
Bezout
clean
co-Hopfian
coherent
continuous
CS
cyclic
essential socle
faithful
finite composition length
finite uniform dimension
finitely cogenerated
finitely generated
finitely generated socle
finitely presented
finitely related
flat
free
has a projective cover
Hopfian
injective
Jacobson semisimple
linearly compact
Noetherian
nonsingular
nonzero socle
principally injective
projective
proper Jacobson radical
quasi-continuous
quasi-injective
quasi-projective
reflexive
semi-Artinian
semi-Noetherian
semi-reflexive
semisimple
serial
strongly semi-Noetherian
superfluous Jacobson radical
supplemented
top semisimple
torsion-free
Legend
= has the property
= does not have the property
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