Category:Examples of Ideals of Rings
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 "Examples of Ideals of Rings"
The following 6 pages are in this category, out of 6 total.
I
- Ideal of Ring/Examples
- Ideal of Ring/Examples/Order 2 Matrices with some Zero Entries
- Ideal of Ring/Examples/Order 2 Matrices with some Zero Entries/Corollary
- Ideal of Ring/Examples/Order 2 Matrices with some Zero Entries/Proof 1
- Ideal of Ring/Examples/Order 2 Matrices with some Zero Entries/Proof 2
- Ideal of Ring/Examples/Set of Even Integers