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Module $M_{ 18 }$
Interval monoid ring (right regular module) over
Interval monoid ring
Description:
The right regular module of the interval monoid ring
$R_{51}$
Reference(s):
(Citation needed)
Properties
Dimensions
Subsets
Known Properties
Name
amply supplemented
brick
divisible (naive)
Jacobson semisimple
semi-Noetherian
singular
strongly semi-Noetherian
supplemented
top semisimple
torsion (naive)
Artinian
coherent
finite composition length
injective
linearly compact
Noetherian
nonsingular
quasi-injective
semi-Artinian
semisimple
simple
torsion (regular element)
$R_R$
Bass module
Bezout
clean
co-Hopfian
continuous
CS
cyclic
distributive
essential socle
faithful
finite uniform dimension
finitely cogenerated
finitely generated
finitely generated socle
finitely presented
finitely related
flat
free
has a projective cover
hollow
Hopfian
indecomposable
local
nonzero socle
principally injective
projective
proper Jacobson radical
quasi-continuous
quasi-projective
reflexive
semi-reflexive
serial
simple socle
strongly indecomposable
subdirectly irreducible
superfluous Jacobson radical
torsion-free
uniform
uniserial
Legend
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= does not have the property
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