Category:Ring of Integers Modulo m

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This category contains results about rings of integers modulo $m$.

Let $m \in \Z: m \ge 2$.

Let $\Z_m$ be the set of integers modulo $m$.

Let $+_m$ and $\times_m$ denote addition modulo $m$ and multiplication modulo $m$ respectively.

The algebraic structure $\struct {\Z_m, +_m, \times_m}$ is the ring of integers modulo $m$.

Subcategories

This category has the following 5 subcategories, out of 5 total.

C

Cyclic Group of Order 8 is not isomorphic to Group of Units of Integers Modulo n‎ (4 P)

I

Ideals of Ring of Integers Modulo m‎ (3 P)

M

Multiplicative Inverse in Ring of Integers Modulo m‎ (3 P)

R

Ring of Integers Modulo Prime is Field‎ (1 C, 6 P)
Ring of Integers Modulo Prime is Integral Domain‎ (3 P)

Pages in category "Ring of Integers Modulo m"

The following 16 pages are in this category, out of 16 total.

C

G

Group of Units Ring of Integers Modulo p^2 is Cyclic

I

M

Multiplicative Inverse in Ring of Integers Modulo m

N

Non-Zero Modulo Numbers Closed under Multiplication then Modulo is Prime

O

R

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