Publication result detail

Dwindlable R-algebras

KUREŠ, M.

Original Title

Dwindlable R-algebras

English Title

Dwindlable R-algebras

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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.

English abstract

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.

Keywords

topological ring, fixed point subalgebra

Key words in English

topological ring, fixed point subalgebra

Authors

KUREŠ, M.

RIV year

2014

Released

31.12.2013

Publisher

Institute of Mathematics, FME, Brno University of Technology

Location

Brno

ISBN

1805-3610

Periodical

Mathematics for applications

Volume

2

Number

2

State

Czech Republic

Pages from

125

Pages to

133

Pages count

9

BibTex

@article{BUT105129,
  author="Miroslav {Kureš}",
  title="Dwindlable R-algebras",
  journal="Mathematics for applications",
  year="2013",
  volume="2",
  number="2",
  pages="125--133",
  doi="10.13164/ma.2013.10",
  issn="1805-3610"
}