@article {
author = {Forouzesh, F.},
title = {Radical of $\cdot$-ideals in $PMV$-algebras},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {2},
pages = {233-246},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we introduce the notion of the radical of a $PMV$-algebra $A$ and we charactrize radical $A$ via elements of $A$. Also, we introduce the notion of the radical of a $\cdot$-ideal in $PMV$-algebras. Several characterizations of this radical is given. We define the notion of a semimaximal $\cdot$-ideal in a $PMV$-algebra. Finally we show that $A/I$ has no nilpotent elements if and only if $I$ is a semi-maximal $\cdot$-ideal of $A$.},
keywords = {$PMV$-algebra,$cdot$-ideal,$cdot$-prime ideal,radical},
url = {http://bims.iranjournals.ir/article_756.html},
eprint = {http://bims.iranjournals.ir/article_756_d1afd5d234b5acc222bd74060762df14.pdf}
}