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Difference between revisions of "Atomic lattice"

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A lattice with a zero in which, for each non-zero element <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a013/a013870/a0138701.png" />, there exists an [[Atom|atom]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a013/a013870/a0138702.png" />.
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A lattice with a zero in which, for each non-zero element $a$, there exists an [[Atom|atom]] $p\leq a$.

Revision as of 18:26, 30 July 2014

A lattice with a zero in which, for each non-zero element $a$, there exists an atom $p\leq a$.

How to Cite This Entry:
Atomic lattice. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Atomic_lattice&oldid=14220
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article