Template:Ring theory sidebar

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This template includes collapsible lists.

• To set it to display all lists when it appears (i.e. all lists expanded), use:
{{Ring theory sidebar |expanded=all}} or, if enabled, {{Ring theory sidebar |all}} (i.e. omitting "expanded=").

• To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
{{Ring theory sidebar |expanded=listname}} or, if enabled, {{Ring theory sidebar |listname}}
…where listname is one of the following (do not include any quotemarks):
Basic, Commutative, Noncommutative

Example: {{Ring theory sidebar|Noncommutative}} yields:

Algebraic structure → Ring theory Ring theory
Basic concepts Rings • Subrings • Ideal • Quotient ring • Fractional ideal • Total ring of fractions • Product of rings • Free product of associative algebras • Tensor product of algebras Ring homomorphisms • Kernel • Inner automorphism • Frobenius endomorphism Algebraic structures • Module • Associative algebra • Graded ring • Involutive ring • Category of rings • Initial ring $\mathbb {Z}$ • Terminal ring $0=\mathbb {Z} /1\mathbb {Z}$ Related structures • Field • Finite field • Non-associative ring • Lie ring • Jordan ring • Semiring • Semifield
Commutative algebra Commutative rings • Integral domain • Integrally closed domain • GCD domain • Unique factorization domain • Principal ideal domain • Euclidean domain • Field • Finite field • Polynomial ring • Formal power series ring Algebraic number theory • Algebraic number field • Integers modulo $n$ • Ring of integers • p-adic integers $\mathbb {Z} _{p}$ • p-adic numbers $\mathbb {Q} _{p}$ • Prüfer p-ring $\mathbb {Z} (p^{\infty })$
Noncommutative algebra Noncommutative rings • Division ring • Semiprimitive ring • Simple ring • Commutator Noncommutative algebraic geometry Free algebra Clifford algebra • Geometric algebra Operator algebra
v t e

The above documentation is transcluded from Template:Ring theory sidebar/doc.
Editors can experiment in this template's sandbox and testcases pages.
Add categories to the /doc subpage. Subpages of this template.