@article {
author = {Laali, J. and Ettefagh, M.},
title = {Non-regularity of multiplications for general measure algebras},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {1},
pages = {265-274},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $fM(X)$ be the space of all finite regular Borel measures on $X$. A general measure algebra is a subspace of$fM(X)$,which is an $L$-space and has a multiplication preserving the probability measures. Let $cLsubseteqfM(X)$ be a general measure algebra on a locallycompact space $X$. In this paper, we investigate the relation between Arensregularity of $cL$ and the topology of $X$. We find conditionsunder which the Arens regularity of $fL$ implies the compactness of $X$.Weshow that these conditions are necessary.We also present some examples in showing that the new conditions aredifferent from Theorem 3.1 of cite{7}.},
keywords = {},
url = {http://bims.iranjournals.ir/article_405.html},
eprint = {http://bims.iranjournals.ir/article_405_227f292f58bd40a514de4597f4abbad2.pdf}
}