Detail publikace

Dwindlable R-algebras

Originální název

Dwindlable R-algebras

Anglický název

Dwindlable R-algebras

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

BibTex


@article{BUT105129,
  author="Miroslav {Kureš}",
  title="Dwindlable R-algebras",
  annote="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.",
  address="Institute of Mathematics, FME, Brno University of Technology",
  chapter="105129",
  doi="10.13164/ma.2013.10",
  institution="Institute of Mathematics, FME, Brno University of Technology",
  number="2",
  volume="2",
  year="2013",
  month="december",
  pages="125--133",
  publisher="Institute of Mathematics, FME, Brno University of Technology",
  type="journal article - other"
}