Difference between revisions of "Direct sum module"
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==Overview== | ==Overview== | ||
There are two direct sums ([[categorical coproducts]] of modules): | There are two direct sums ([[categorical coproducts]] of modules): | ||
| − | # [[External direct sum]] - which we shall mean by default | + | # [[External direct sum module]] - which we shall mean by default |
| − | # [[Internal direct sum]] - which we shall mean only if explicit. | + | # [[Internal direct sum module]] - which we shall mean only if explicit. |
These are {{link|isomorphic|module}}{{rAAPAG}}<!--page 327 --> | These are {{link|isomorphic|module}}{{rAAPAG}}<!--page 327 --> | ||
| + | |||
==References== | ==References== | ||
<references/> | <references/> | ||
{{Definition|Abstract Algebra|Module Theory}} | {{Definition|Abstract Algebra|Module Theory}} | ||
Latest revision as of 13:25, 20 October 2016
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Contents
Overview
There are two direct sums (categorical coproducts of modules):
- External direct sum module - which we shall mean by default
- Internal direct sum module - which we shall mean only if explicit.
These are isomorphic[1]
