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A matrix representation for associative algebras. I

A matrix representation for associative algebras. I

Let <italic>F</italic> be a mixed free algebra on a set <italic>X</italic> over the field <italic>K</italic>. Let <italic>U</italic>, <italic>V</italic> be two ideals of <italic>F</italic>, and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartSet delta left-parenthesis x right-parenthesis comma left-parenthesis x element-of upper X right-parenthesis EndSet"> <mml:semantics> <mml:mrow> <mml:mo fence="false" stretchy="false">{</mml:mo> <mml:mi>δ<!-- δ --></mml:mi> <mml:mo …