PUMA publications for /user/stephandoerfel/variety%20itegpub%202011https://puma.uni-kassel.de/user/stephandoerfel/variety%20itegpub%202011PUMA RSS feed for /user/stephandoerfel/variety%20itegpub%2020112020-04-07T02:36:46+02:00A Context-Based Description of the Doubly Founded Concept Lattices in the Variety Generated by M_3https://puma.uni-kassel.de/bibtex/25cee560a10f3cb4ad3cb3726b6a18ff4/stephandoerfelstephandoerfel2011-05-03T14:10:06+02:002011 characterization context da itegpub modular myown variety <span class="authorEditorList"><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Stephan Doerfel" itemprop="url" href="/author/Stephan%20Doerfel"><span itemprop="name">S. Doerfel</span></a></span>. </span><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Formal Concept Analysis</span>, </em></span><em>Volume 6628 von Lecture Notes in Computer Science, </em><em>Seite <span itemprop="pagination">93-106</span>. </em><em>Berlin / Heidelberg, </em><em><span itemprop="publisher">Springer</span>, </em>(<em><span>2011<meta content="2011" itemprop="datePublished"/></span></em>)Tue May 03 14:10:06 CEST 2011Berlin / HeidelbergFormal Concept Analysis93-106Lecture Notes in Computer ScienceA Context-Based Description of the Doubly Founded Concept Lattices in the Variety Generated by M_3662820112011 characterization context da itegpub modular myown variety In universal algebra and in lattice theory the notion of varieties is very prominent, since varieties describe the classes of all algebras (or of all lattices) modeling a given set of equations. While a comprehensive translation of that notion to a similar notion of varieties of complete lattices – and thus to Formal Concept Analysis – has not yet been accomplished, some characterizations of the doubly founded complete lattices of some special varieties (e.g. the variety of modular or that of distributive lattices) have been discovered. In this paper we use the well-known arrow relations to give a characterization of the formal contexts of doubly founded concept lattices in the variety that is generated by M 3 – the smallest modular, non-distributive lattice variety.SpringerLink - Abstract