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2008-10-20 10:22:38
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bci1
the zero vector $\vec{0}$.
finitely generated module,span,cyclic module, zero vector $\vec{0}$, singleton |
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2008-10-20 10:20:50
- revision [
Version 10 --> Version 11
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by
bci1
Let us recall that the span of a (not necessarily finite) set $X$ of vectors is the class of all (finite) linear combinations of elements of $S$; moreover, let us recall that the span of the empty set is defined to be the singleton consisting of only one vector, the zero vector $\vec{0}$. A module $X$ is then called \emph{cyclic} if it can be \PMlinkescapetext{spanned by} a singleton.
Span |
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