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| Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
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abelian_group [2014/05/28 16:06] nikolaj |
abelian_group [2017/04/22 21:03] 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. | ||
| + | jb | ||
| + | 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]] |
