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Critically prime interval orders |
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| Authors: | Imed Zaguia |
| Institution: | Department of Mathematics & Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khoud 123, Muscat, Sultanate of Oman, Oman |
| Abstract: | We prove that a prime interval order, not necessarily finite, has no prime upper cover if and only if it has width two. On the other hand, we prove that every finite prime N-free order has at least one prime upper cover. |
| Keywords: | Ordered set Critical pair Autonomous set Module Prime order Interval order _method=retrieve& _eid=1-s2 0-S0012365X0700859X& _mathId=si3 gif& _pii=S0012365X0700859X& _issn=0012365X& _acct=C000053510& _version=1& _userid=1524097& md5=50153a774c55a6ce0b5eef025846b315')" style="cursor:pointer N-free" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">N-free |
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