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词汇 indecomposable
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Examples of indecomposable


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Thus, the set is dynamically indecomposable and must be studied as one piece.
The existence of a dense trajectory as specified in (ii) is also called topological transitivity and ensures that the attractor is indecomposable.
T he next result is related to indecomposable continua.
Our results are related to the theory of indecomposable continua.
Proposition 6 provides numerically verifiable conditions guaranteeing that the boundary of a basin, which is the boundary of at least three basins, is an indecomposable continuum.
Indecomposable continua have a long history.
Alternatively, it is an indecomposable, projective, cyclic module.
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An indecomposable module is a non-zero module that can not be written as a direct sum of two non-zero submodules.
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Every finitely-generated abelian group is a direct sum of (finitely many) indecomposable abelian groups.
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A vector space is indecomposable if and only if its dimension is 1.
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As a topological space the dyadic solenoid is a solenoid, and an indecomposable continuum.
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Semisimple is stronger than completely decomposable, which is a direct sum of indecomposable submodules.
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A group which can be expressed as a direct sum of non-trivial subgroups is called "decomposable"; otherwise it is called "indecomposable".
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In all other cases, there are infinitely many isomorphism types of indecomposable modules in the block.
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Every simple module is indecomposable, but the converse is in general not true.
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A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of a compact topological group.
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In general, rings are first broken down into indecomposable rings.
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In this way there is a 1-1 correspondence between prime ideals and indecomposable injective modules.
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If a continuum is indecomposable, then its composants are pairwise disjoint.
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