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ring [2014/05/26 14:22] nikolaj |
ring [2015/02/02 19:07] nikolaj |
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===== Ring ===== | ===== Ring ===== | ||
==== Set ==== | ==== Set ==== | ||
- | {{ ueberall_blumen_und_girlanden_halb_zerknuellt.jpg?X500}} | ||
- | |||
| @#55CCEE: context | @#55CCEE: $\langle X,+ \rangle \in \mathrm{AbelianGroup}(X)$ | | | @#55CCEE: context | @#55CCEE: $\langle X,+ \rangle \in \mathrm{AbelianGroup}(X)$ | | ||
| @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle\in\mathrm{it}$ | | | @#FFBB00: definiendum | @#FFBB00: $\langle X,+,* \rangle\in\mathrm{it}$ | | ||
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==== Discussion ==== | ==== Discussion ==== | ||
+ | |||
+ | {{ ueberall_blumen_und_girlanden_halb_zerknuellt.jpg?X400}} | ||
One might call the commutative group operation "$+$" the //addition// and the other one "$*$" the //multiplication//. In a [[unital ring]], the latter has an identity too. | One might call the commutative group operation "$+$" the //addition// and the other one "$*$" the //multiplication//. In a [[unital ring]], the latter has an identity too. | ||
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Wikipedia: [[http://en.wikipedia.org/wiki/Ring_%28mathematics%29|Ring]] | Wikipedia: [[http://en.wikipedia.org/wiki/Ring_%28mathematics%29|Ring]] | ||
- | ==== Parents ==== | + | ----- |
=== Subset of === | === Subset of === | ||
[[Semiring]] | [[Semiring]] | ||
=== Context === | === Context === | ||
[[Abelian group]] | [[Abelian group]] |