A characterization of F-algebras with all one-sided ideals closed

W. Żelazko

Studia Mathematica (2005)

  • Volume: 168, Issue: 2, page 135-145
  • ISSN: 0039-3223

Abstract

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We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.

How to cite

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W. Żelazko. "A characterization of F-algebras with all one-sided ideals closed." Studia Mathematica 168.2 (2005): 135-145. <http://eudml.org/doc/285028>.

@article{W2005,
abstract = {We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.},
author = {W. Żelazko},
journal = {Studia Mathematica},
language = {eng},
number = {2},
pages = {135-145},
title = {A characterization of F-algebras with all one-sided ideals closed},
url = {http://eudml.org/doc/285028},
volume = {168},
year = {2005},
}

TY - JOUR
AU - W. Żelazko
TI - A characterization of F-algebras with all one-sided ideals closed
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 2
SP - 135
EP - 145
AB - We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
LA - eng
UR - http://eudml.org/doc/285028
ER -

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