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Simple near-ring centralizers of finite rings

Simple near-ring centralizers of finite rings

For a finite ring <italic>R</italic> with identity and a finite unital <italic>R</italic>-module <italic>V</italic> we call <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C left-parenthesis upper R right-parenthesis equals left-brace f colon upper V right-arrow upper V vertical-bar f left-parenthesis alpha v right-parenthesis equals alpha f left-parenthesis v right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mo …