- "no
proper submodule" N < M,
while indecomposable "not
expressible as N ⊕ P = M". A
direct sum of
indecomposables is
called completely decomposable;[citation...
- Look up
indecomposability or
indecomposable in Wiktionary, the free dictionary.
Indecomposability or
indecomposable may
refer to any of
several subjects...
- 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...
- In
probability theory, an
indecomposable distribution is a
probability distribution that
cannot be
represented as the
distribution of the sum of two or...
- 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...
-
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 the area of
abstract algebra known as
module theory, a prin****l
indecomposable module has many
important relations to the
study of a ring's modules...
- In
intuitionistic analysis and in com****ble analysis,
indecomposability or
indivisibility (German: Unzerlegbarkeit, from the
adjective unzerlegbar) is...
- as non-isomorphic
projective indecomposables have non-isomorphic socles. The
multiplicity of a
projective indecomposable module as a
summand of the group...
-
Mazurkiewicz and Hans Hahn. His 1935
paper Sur l'existence des
continus indécomposables is
generally considered the most
elegant piece of work in point-set...
