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Module $M_{ 6 }$
$\mathbb Q$ over
$\mathbb Z$: the ring of integers
Description:
$\mathbb Q$ as a $\mathbb Z$ module
Reference(s):
(Citation needed)
Properties
Dimensions
Subsets
Known Properties
Name
amply supplemented
Bezout
distributive
hollow
quasi-projective
serial
singular
supplemented
uniserial
$R_R$
Artinian
Bass module
coherent
cyclic
essential socle
finite composition length
finitely cogenerated
finitely generated
finitely presented
finitely related
free
has a projective cover
Jacobson semisimple
linearly compact
local
Noetherian
nonzero socle
projective
proper Jacobson radical
reflexive
semi-Artinian
semi-Noetherian
semi-reflexive
semisimple
simple
simple socle
strongly semi-Noetherian
subdirectly irreducible
superfluous Jacobson radical
torsion (naive)
torsion (regular element)
brick
clean
co-Hopfian
continuous
CS
divisible (naive)
faithful
finite uniform dimension
finitely generated socle
flat
Hopfian
indecomposable
injective
nonsingular
principally injective
quasi-continuous
quasi-injective
strongly indecomposable
top semisimple
torsion-free
uniform
Legend
= has the property
= does not have the property
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