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Semiartinian profinite algebras have nilpotent Jacobson radical (1512.09338v1)
Published 31 Dec 2015 in math.RA and math.RT
Abstract: We give a method to study the finiteness of the coradical filtration of a coalgebra; as a consequence, we show that a left semiartinian profinite algebra has nilpotent Jacobson radical and is right semiartinian too. Equivalently, we show that a for a semilocal profinite algebra, T-nilpotence implies nilpotence for the Jacobson radical. This answers two open questions from \cite{INT}.
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