.png){kind=icon}
.png){kind=icon}
Return
DECOMPOSING MODULES OVER A LOCAL NOETHERIAN RING
.png){kind=icon}
PRE
AI
DOI：10.1216/jca.2025.17.503.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Let R be a commutative local Noetherian ring. We use the theory of semigroups to analyze decompo-sitions of R-modules. By a semigroup (or monoid) of R-modules we mean a nonempty collection of R-modules closed under direct summands and finite direct sums. We give several examples of nonunique decompositions of finitely generated modules as direct sums of indecomposable submodules.
Keywords:
semigroup
local ring
direct sum decompositions
Journal
J
IF:
0.6
Papers:
9
Citations:
0
