Semiartinian profinite algebras have nilpotent Jacobson radical

Autor:	Iovanov, Miodrag C.
Rok vydání:	2015
Předmět:	Mathematics - Rings and Algebras Mathematics - Representation Theory 16T15 18E40 16T05
Zdroj:	Algebr. Represent. Theory, Vol. 17 (2014), No. 4, pp 1145--1154
Druh dokumentu:	Working Paper
Popis:	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}. Comment: 10p
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.09338 Zobrazit plný text záznamu View this record from Arxiv