### Abstract

We consider F-algebras A that are generated by elements of the form z, (z – λ
_{1}
e)
^{-1}
⋯, (z – λ
_{N}
e)
^{-1}
, where e is the identity. If A has no topological divisors of zero we show that A is isomorphic to H(Ω), where Ω is a finitely connected region. We also study F-algebras in which {e, z, z
^{-1}
, z
^{2}
, z
^{-2}
,…} is a basis.

Original language | English (US) |
---|---|

Pages (from-to) | 489-495 |

Number of pages | 7 |

Journal | International Journal of Mathematics and Mathematical Sciences |

Volume | 18 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1995 |

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### All Science Journal Classification (ASJC) codes

- Mathematics (miscellaneous)

### Cite this

*International Journal of Mathematics and Mathematical Sciences*,

*18*(3), 489-495. https://doi.org/10.1155/S0161171295000627

}

*International Journal of Mathematics and Mathematical Sciences*, vol. 18, no. 3, pp. 489-495. https://doi.org/10.1155/S0161171295000627

**Fréchet Algebras Generated by Certain of their Elements.** / Ouzomgi, Samir; Redlin, L.; Watson, S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Fréchet Algebras Generated by Certain of their Elements

AU - Ouzomgi, Samir

AU - Redlin, L.

AU - Watson, S.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - We consider F-algebras A that are generated by elements of the form z, (z – λ 1 e) -1 ⋯, (z – λ N e) -1 , where e is the identity. If A has no topological divisors of zero we show that A is isomorphic to H(Ω), where Ω is a finitely connected region. We also study F-algebras in which {e, z, z -1 , z 2 , z -2 ,…} is a basis.

AB - We consider F-algebras A that are generated by elements of the form z, (z – λ 1 e) -1 ⋯, (z – λ N e) -1 , where e is the identity. If A has no topological divisors of zero we show that A is isomorphic to H(Ω), where Ω is a finitely connected region. We also study F-algebras in which {e, z, z -1 , z 2 , z -2 ,…} is a basis.

UR - http://www.scopus.com/inward/record.url?scp=84958299777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958299777&partnerID=8YFLogxK

U2 - 10.1155/S0161171295000627

DO - 10.1155/S0161171295000627

M3 - Article

VL - 18

SP - 489

EP - 495

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

SN - 0161-1712

IS - 3

ER -