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Subalgebra
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a subalgebra is a subset of an <a href="/facts/Algebra_over_a_field/8T8ulWJb">algebra</a>, closed under all its operations, and carrying the induced operations. </p><p>"<a href="/facts/Algebra_(disambiguation)/V2wYNElL">Algebra</a>", when referring to a structure, often means a <a href="/facts/Vector_space/M1pxMLx2">vector space</a> or <a href="/facts/Module_(mathematics)/jP0LIhFL">module</a> equipped with an additional bilinear operation. Algebras in <a href="/facts/Universal_algebra/uMJAL6ER">universal algebra</a> are far more general: they are a common generalisation of <i>all</i> <a href="/facts/Algebraic_structures/TkuXca24">algebraic structures</a>. "Subalgebra" can refer to either case. </p>