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Indecomposable has multiple meanings in the field of mathematics: indecomposable module , in algebra. indecomposable distribution , in
Kaynak: Indecomposable

In abstract algebra , a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodule s
Kaynak: Indecomposable module

In probability theory , an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the
Kaynak: Indecomposable distribution

In point-set topology , an indecomposable continuum is a continuum that is not the union of any two of its proper subcontinua.
Kaynak: Indecomposable continuum

In set theory , a branch of mathematics , an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any
Kaynak: Additively indecomposable ordinal

In mathematics , especially in the area of abstract algebra known as module theory , a principal indecomposable module has many important
Kaynak: Principal indecomposable module

An indecomposable past set is a past set which isn't the union of two different open past proper subsets. proper indecomposable past set (PIP).
Kaynak: Causal structure

In general topology , the pseudo-arc is the simplest nondegenerate hereditarily indecomposable continuum . The pseudo-arc is an arc-like
Kaynak: Pseudo-arc

In knot theory , a prime knot is a knot that is, in a certain sense, indecomposable. Specifically, it is a non- trivial knot which
Kaynak: Prime knot

For the group algebra of a finite group, the (isomorphism types of) projective indecomposable modules are in a one-to-one correspondence
Kaynak: Modular representation theory

In algebraic geometry , the Horrocks–Mumford bundle is an indecomposable rank 2 vector bundle on 4-dimensional projective space P 4
Kaynak: Horrocks–Mumford bundle

In algebraic geometry , a Tango bundle is one of the indecomposable vector bundle s of rank n − 1 constructed on n-dimensional projective
Kaynak: Tango bundle

In mathematics , the Auslander algebra of an algebra A is the endomorphism ring of the sum of the indecomposable module s of A. It was
Kaynak: Auslander algebra

In the mathematical theory of knots , prime knots are those knots that are indecomposable under the operation of knot sum .
Kaynak: List of prime knots

In algebraic geometry , Horrocks bundles are certain indecomposable rank 3 vector bundle s (locally free sheaves) on 5-dimensional
Kaynak: Horrocks bundle

Every simple module is indecomposable, but there are indecomposable modules which are not simple (e.g. uniform module s). Faithful.
Kaynak: Module (mathematics)

If M is indecomposable and has finite length , then every endomorphism of M is either bijective or nilpotent . length indecomposable
Kaynak: Fitting lemma

While R is not isomorphic to M, R ⊕ R is isomorphic to M ⊕ M; thus the images of the M summands give indecomposable submodules L 1, L 2 4
Kaynak: Structure theorem for finitely generated modules over a principal ideal domain

Over a Noetherian ring , every injective module is uniquely a direct sum of indecomposable modules, and their structure is well
Kaynak: Injective module

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