- Look up
indecomposability or
indecomposable in Wiktionary, the free dictionary.
Indecomposability or
indecomposable may
refer to any of
several subjects...
- algebra, a
module is
indecomposable if it is non-zero and
cannot be
written as a
direct sum of two non-zero submodules.
Indecomposable is a
weaker notion...
- In point-set topology, an
indecomposable continuum is a
continuum that is
indecomposable, i.e. that
cannot be
expressed as the
union of any two of its...
- In
probability theory, an
indecomposable distribution is a
probability distribution that
cannot be
represented as the
distribution of the sum of two or...
-
semisimple if and only if
every module over it is a
semisimple module. An
indecomposable module is a
module that is not a
direct sum of two
nonzero submodules...
- In set theory, a
branch of mathematics, an
additively indecomposable ordinal α is any
ordinal number that is not 0 such that for any β , γ < α {\displaystyle...
-
irreducible representations.
Irreducible representations are
always indecomposable (i.e.
cannot be
decomposed further into a
direct sum of representations)...
-
indecomposable modules are in a one-to-one
correspondence with the (isomorphism
types of)
simple modules: the
socle of each
projective indecomposable...
- ) {\displaystyle R/(q_{i})} are
indecomposable, so the
primary decomposition is a
decomposition into
indecomposable modules, and thus
every finitely...
-
upgraded to a
higher level).
Additively indecomposable A
limit ordinal α is
called additively indecomposable if it
cannot be
expressed as the sum of β...
