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Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
abelian_group [2014/05/28 16:06] nikolaj |
abelian_group [2014/12/13 00:56] nikolaj |
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| @#55EE55: postulate | @#55EE55: $a*b=b*a$ | | | @#55EE55: postulate | @#55EE55: $a*b=b*a$ | | ||
- | ==== Ramifications ==== | + | ==== Discussion ==== |
- | === Discussion === | + | |
One generally calls $X$ the group, i.e. the set where the operation "$+$" is defined on. | One generally calls $X$ the group, i.e. the set where the operation "$+$" is defined on. | ||
+ | |||
+ | An abelian group is also a module over the ring of integers. | ||
==== Reference ==== | ==== Reference ==== | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Abelian_group|group]] | Wikipedia: [[http://en.wikipedia.org/wiki/Abelian_group|group]] | ||
==== Parents ==== | ==== Parents ==== | ||
=== Subset of === | === Subset of === | ||
- | [[Group]], [[Abelian monoid]] | + | [[Group]], [[Abelian monoid]], [[Module]] |