semiartinian
English
Etymology
From
semi-
+
Artinian
.
Pronunciation
Audio
(
US
)
:
(file)
Adjective
semiartinian
(
not comparable
)
(
algebra
)
Of a
module
R
M
{\displaystyle _{R}M}
: such that, for every
M
→
N
{\displaystyle M\rightarrow N}
epimorphism
, where
N
≠
0
{\displaystyle N\neq 0}
, the
socle
of
N
{\displaystyle N}
is
essential
in
N
{\displaystyle N}
.
: such that, for every 
epimorphism, where 
, the socle of 
is essential in .