Category:Definitions/Examples of Ideals
Jump to navigation
Jump to search
This category contains examples of Ideal of Ring.
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/Examples of Ideals"
This category contains only the following page.