Ideals in distributive posets |
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| Authors: | Cyndyma Batueva Marina Semenova |
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| Affiliation: | 1.Novosibirsk State University,Novosibirsk,Russia;2.Sobolev Institute of Mathematics,Siberian Branch RAS,Novosibirsk,Russia |
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| Abstract: | ![]()
We prove that any ideal in a distributive (relative to a certain completion) poset is an intersection of prime ideals. Besides that, we give a characterization of n-normal meet semilattices with zero, thus generalizing a known result for lattices with zero. |
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