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Ring of endomorphisms of a finite length module

Ring of endomorphisms of a finite length module

An example of a uniserial module <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M Subscript upper R"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>R</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{M_R}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of composition length 2, such that <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S equals upper E n d left-parenthesis upper M Subscript upper …