Dwindlable R-algebras

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Kureš, Miroslav

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Mark

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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky

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Abstract

The concept of a dwindlable R-algebra is defined for an arbitrary topo- logical R-algebra A. It is proved that if A is dwindlable, then its subalgebra of fixed points is trivial. It is also demonstrated that for an algebra gradable by radical its dwindlability depends on a dwindlability of its factor.

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Mathematics for Applications. 2013, 2, č. 2, s. 125-133. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_kures_final.pdf

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Peer-reviewed

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en

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