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Module $M_{ 17 }$
$2$-adic integers: $\mathbb Z_2$ over
$2$-adic integers: $\mathbb Z_2$
Description:
The right regular module of $\mathbb Z_2$ (
$R_{84}$
) over itself.
Reference(s):
(Citation needed)
Properties
Dimensions
Subsets
Known Properties
Name
singular
Artinian
brick
co-Hopfian
continuous
divisible (naive)
essential socle
finite composition length
finitely cogenerated
injective
Jacobson semisimple
nonzero socle
principally injective
quasi-injective
semi-Artinian
semisimple
simple
simple socle
subdirectly irreducible
torsion (naive)
torsion (regular element)
$R_R$
amply supplemented
Bass module
Bezout
clean
coherent
CS
cyclic
distributive
faithful
finite uniform dimension
finitely generated
finitely generated socle
finitely presented
finitely related
flat
free
has a projective cover
hollow
Hopfian
indecomposable
linearly compact
local
Noetherian
nonsingular
projective
proper Jacobson radical
quasi-continuous
quasi-projective
reflexive
semi-Noetherian
semi-reflexive
serial
strongly indecomposable
strongly semi-Noetherian
superfluous Jacobson radical
supplemented
top semisimple
torsion-free
uniform
uniserial
Legend
= has the property
= does not have the property
= information not in database
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