. "Dwindlable R-algebras"@en . "2" . . . "The concept of a dwindlable R-algebra is defined for an arbitrary topological 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." . . . "Dwindlable R-algebras" . "9"^^ . "Dwindlable R-algebras" . . "Dwindlable R-algebras"@en . "1"^^ . "1805-3610" . . . "1"^^ . "topological ring, fixed point subalgebra"@en . "CZ - \u010Cesk\u00E1 republika" . . "S" . . "RIV/00216305:26210/13:PU107497!RIV14-MSM-26210___" . "10.13164/ma.2013.10" . . . "2" . "[43C459D21380]" . "Mathematics for applications" . "The concept of a dwindlable R-algebra is defined for an arbitrary topological 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."@en . "26210" . . "70845" . . "RIV/00216305:26210/13:PU107497" . "Kure\u0161, Miroslav" .