<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>
If T is a commutative ring and R a subring of T containing the unity of T, (R,T) is called a Laskerian pair (LP) if every ring A, \(R\subseteq A\subseteq T\) is Laskerian. Necessary and sufficient conditions are given for different pairs (R,T) to be a LP (e.g. (R,R[X]), where X is an indeterminate, (R,K), where K is a field, \((R,S^{-1}R)\), where R is a domain and S is a multiplicatively closed subset of R, etc.).
Algebra and Number Theory, Chain conditions, finiteness conditions in commutative ring theory, Laskerian pair
Algebra and Number Theory, Chain conditions, finiteness conditions in commutative ring theory, Laskerian pair
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 9 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |