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[[:Category:Algebra|Algebra]] | [[:Category:Linear algebra|Linear algebra]] | ...

...stated in terms of integral equations, in terms of [[linear algebra]], or in terms of the [[Fredholm operator]] on [[Banach space]]s. The [[Fredholm alternative]] is one of the Fredholm theorems. ...

...m of curves]] describes classification of [[Regular curve|regular curves]] in space up to [[Translation (geometry)|translation]] and [[rotation]]. ...as a stepping stone to a larger result, rather than as a useful statement in-and-of itself. ...

In [[Abstract algebra|algebra]], the '''coimage''' of a [[homomorphism]] of the [[domain of a function|domain]] by the [[kernel (algebra)|kernel]]. ...

In [[mathematics]], a '''classification theorem''' answers the [[classificatio ...p in solving it. (A combination of invariant values is realizable if there in fact exists an object whose invariants take on the specified set of values) ...

*[[Bounded linear operator]] **[[Continuous linear extension]] ...

{{short description|One of several theorems in different areas of mathematics}} ...ry]], '''Schur's theorem''' is a theorem of [[:de:Axel Schur|Axel Schur]]. In [[functional analysis]], '''Schur's theorem''' is often called [[Schur's pr ...

{{Short description|Law in algebra}} In [[algebra]], the '''absorption law''' or '''absorption identity''' is an [[Identity ( ...

..., '''Ado's theorem''' is a theorem characterizing finite-dimensional [[Lie algebra]]s. ...ommutator bracket]]. More precisely, the theorem states that ''L'' has a [[linear representation]] ρ over ''K'', on a [[finite-dimensional vector space]] ''V ...

'''Whitehead's lemma''' is a technical result in [[abstract algebra]] used in [[algebraic K-theory]]. It states that a [[matrix (mathematics)|matrix]] o ...url=https://archive.org/details/explicitbrauerin0000snai/page/164 }}</ref> In symbols, ...

In [[mathematics]], a '''representation theorem''' is a [[theorem]] that state === Algebra === ...

{{Short description|Mathematical method in functional analysis}} ...uous]], which makes it a '''continuous [[Linear extension (linear algebra)|linear extension]]'''. ...

...equally many elements. This number of elements may be finite or infinite (in the latter case, it is a [[cardinal number]]), and defines the [[Dimension {{block indent | em = 1.5 | text = In a vector space {{math|''V''}}, if {{mvar|G}} is a generating set, and {{mva ...

{{short description|Theorem in abstract algebra}} The '''Latimer–MacDuffee theorem''' is a [[theorem]] in [[abstract algebra]], a branch of [[mathematics]]. ...

==Theorems of which articles are primarily devoted to proving them== ==Articles devoted to theorems of which a (sketch of a) proof is given== ...

...r]]s are order-[[isomorphic]] to the [[linear continuum]] of [[geometry]]. In other words, the axiom states that there is a one-to-one correspondence bet ...roved by [[Emil Artin]] in his book ''[[Geometric Algebra (book)|Geometric Algebra]]''. More precisely, [[Euclidean space]]s defined over the [[field (mathema ...

{{Short description|Mathematics theorem in functional analysis}} ...braic entity without reference to particular realizations as an [[operator algebra]]. ...

{{short description|Theorem in the representation theory of linear algebraic groups}} ...algebraic group]]s; '''[[Lie's theorem]]''' is the analog for [[linear Lie algebra]]s. ...

{{wiktionary|Appendix:Glossary of abstract algebra}} ...ften now called ''[[elementary algebra]]''. The distinction is rarely made in more recent writings. ...

..., Felipe (2006), and Kinyon (2007), inspired by a question about [[Leibniz algebra]]s. ...th>. A digroup replaces the one operation by two operations that interact in a complicated way, as stated below. A digroup may also have more than one ...