Chain conditions on symmetric elements
Chain conditions on symmetric elements
Recently Britten has proven an analog of Goldie’s theorem for the Jordan ring <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S"> <mml:semantics> <mml:mi>S</mml:mi> <mml:annotation encoding="application/x-tex">S</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of symmetric elements in a ring with involution of characteristic not 2. In this paper we first extend Britten’s theorem to the situation where …