PUMA publications for /user/stephandoerfel/complete%20latticehttps://puma.uni-kassel.de/user/stephandoerfel/complete%20latticePUMA RSS feed for /user/stephandoerfel/complete%20lattice2024-03-29T01:01:26+01:00- Distributive laws for concept latticeshttps://puma.uni-kassel.de/bibtex/2dd7f97b10532feab21d486ebb6783939/stephandoerfelstephandoerfel2010-12-19T13:14:14+01:00complete concept distributive distributivity fba fca lattice math theory <span class="authorEditorList"><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Marcel Erné" itemprop="url" href="/author/Marcel%20Ern%c3%a9"><span itemprop="name">M. Erné</span></a></span>. </span><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><span itemtype="http://schema.org/Periodical" itemscope="itemscope" itemprop="isPartOf"><span itemprop="name"><em>Algebra Universalis</em></span></span> </span>(<em><span>1993<meta content="1993" itemprop="datePublished"/></span></em>)Sun Dec 19 13:14:14 CET 2010Algebra Universalis538-580Distributive laws for concept lattices301993complete concept distributive distributivity fba fca lattice math theory We study several kinds of distributivity for concept lattices of contexts. In particular, we find necessary and sufficient conditions for a concept lattice to be(1)distributive,(2)a frame (locale, complete Heyting algebra),(3)isomorphic to a topology,(4)completely distributive,(5)superalgebraic (i.e., algebraic and completely distributive).SpringerLink - Algebra Universalis, Volume 30, Number 4
- On Complete Congruence Lattices of Complete Latticeshttps://puma.uni-kassel.de/bibtex/2200d680360ef9ab42903d4ea7b947a4b/stephandoerfelstephandoerfel2010-12-17T13:46:00+01:00cited complete congruence da diplomarbeit lattice <span class="authorEditorList"><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="George Grätzer" itemprop="url" href="/author/George%20Gr%5c%22atzer"><span itemprop="name">G. Grätzer</span></a></span>, и <span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Henry Lakser" itemprop="url" href="/author/Henry%20Lakser"><span itemprop="name">H. Lakser</span></a></span>. </span><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><span itemtype="http://schema.org/Periodical" itemscope="itemscope" itemprop="isPartOf"><span itemprop="name"><em>Trans. Amer. Math. Soc.</em></span></span> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">327 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">385--405</span></em> </span>(<em><span>1991<meta content="1991" itemprop="datePublished"/></span></em>)Fri Dec 17 13:46:00 CET 2010Trans. Amer. Math. Soc.1385--405On Complete Congruence Lattices of Complete Lattices3271991cited complete congruence da diplomarbeit lattice
- On the non-existence of free complete Boolean algebrashttps://puma.uni-kassel.de/bibtex/24d17473cee1aa8c33d821aacf2fbb95c/stephandoerfelstephandoerfel2010-12-14T18:23:59+01:00algebras boolean complete existence fca free lattice <span class="authorEditorList"><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="A. W. Hales" itemprop="url" href="/author/A.%20W.%20Hales"><span itemprop="name">A. Hales</span></a></span>. </span><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><span itemtype="http://schema.org/Periodical" itemscope="itemscope" itemprop="isPartOf"><span itemprop="name"><em>Fundamentae Mathematica</em></span></span> </span>(<em><span>1964<meta content="1964" itemprop="datePublished"/></span></em>)Tue Dec 14 18:23:59 CET 2010Fundamentae Mathematica45-66On the non-existence of free complete Boolean algebras541964algebras boolean complete existence fca free lattice Proof, that no there are no free complete lattices