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Module $M_{ 12 }$
Uniserial, not endolocal module over
2-dimensional uniserial domain
Description:
$M_R=R/xR$, where $R$ is
ring 153
Reference(s):
G. Puninski. Projective modules over the endomorphism ring of a biuniform module. (2004) @ Section 7 p 18
Properties
Dimensions
Subsets
Known Properties
Name
amply supplemented
clean
continuous
divisible (naive)
essential socle
faithful
finitely cogenerated
finitely generated socle
Jacobson semisimple
linearly compact
nonsingular
nonzero socle
principally injective
quasi-continuous
quasi-injective
quasi-projective
semi-Artinian
simple socle
singular
subdirectly irreducible
supplemented
top semisimple
torsion (naive)
torsion (regular element)
$R_R$
Artinian
brick
co-Hopfian
finite composition length
flat
free
Hopfian
injective
Noetherian
projective
reflexive
semi-Noetherian
semi-reflexive
semisimple
simple
strongly indecomposable
strongly semi-Noetherian
torsion-free
Bass module
Bezout
coherent
CS
cyclic
distributive
finite uniform dimension
finitely generated
finitely presented
finitely related
has a projective cover
hollow
indecomposable
local
proper Jacobson radical
serial
superfluous Jacobson radical
uniform
uniserial
Legend
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