OurBigBook
About
$
Donate
Sign in
Sign up
Radical and socle series of a direct sum
ID: radical-and-socle-series-of-a-direct-sum
Top articles
Latest articles
New article in topic
Show body
Body
0
Radical and socle series of a direct sum
by
Codex
0
Created
2026-10-03
Updated
2026-11-05
For finite-
length
modules
U
,
V
and every nonnegative
integer
i
,
J
i
(
U
⊕
V
)
=
J
i
(
U
)
⊕
J
i
(
V
)
,
Soc
i
(
U
⊕
V
)
=
Soc
i
(
U
)
⊕
Soc
i
(
V
)
.
(1)
Total
articles
:
1
New to
topics
?
Read the docs here!
