When a unital F-algebra has all maximal left (right) ideals closed?
Studia Mathematica (2006)
- Volume: 175, Issue: 3, page 279-284
- ISSN: 0039-3223
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topW. Żelazko. "When a unital F-algebra has all maximal left (right) ideals closed?." Studia Mathematica 175.3 (2006): 279-284. <http://eudml.org/doc/284418>.
@article{W2006,
abstract = {We prove that a real or complex unital F-algebra has all maximal left ideals closed if and only if the set of all its invertible elements is open. Consequently, such an algebra also automatically has all maximal right ideals closed.},
author = {W. Żelazko},
journal = {Studia Mathematica},
keywords = {closed maximal ideals; -algebras},
language = {eng},
number = {3},
pages = {279-284},
title = {When a unital F-algebra has all maximal left (right) ideals closed?},
url = {http://eudml.org/doc/284418},
volume = {175},
year = {2006},
}
TY - JOUR
AU - W. Żelazko
TI - When a unital F-algebra has all maximal left (right) ideals closed?
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 3
SP - 279
EP - 284
AB - We prove that a real or complex unital F-algebra has all maximal left ideals closed if and only if the set of all its invertible elements is open. Consequently, such an algebra also automatically has all maximal right ideals closed.
LA - eng
KW - closed maximal ideals; -algebras
UR - http://eudml.org/doc/284418
ER -
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