Category:Definitions/Ideals of Rings
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This category contains definitions related to Ideals of Rings.
Related results can be found in Category:Ideals of Rings.
Let $\struct {R, +, \circ}$ be a ring.
Let $\struct {J, +}$ be a subgroup of $\struct {R, +}$.
Then $J$ is an ideal of $R$ if and only if:
- $\forall j \in J: \forall r \in R: j \circ r \in J \land r \circ j \in J$
that is, if and only if:
- $\forall r \in R: J \circ r \subseteq J \land r \circ J \subseteq J$
Pages in category "Definitions/Ideals of Rings"
The following 2 pages are in this category, out of 2 total.