{"product_id":"concept-analysis-of-implicative-algebras-von-alexandra-hanig","title":"Concept Analysis of Implicative Algebras","description":"\u003cp\u003eThe intention of the thesis ¿Concept Analysis of Implicative Algebras¿ is to use concept  analysis to examine implicative algebras based on axioms, which are satisfied  in Hilbert algebras. The goal is to find as many algebras as possible, which are  differentiated within their combination of the axioms of Hilbert algebras. When  using the axioms without restrictions we gain the general concept lattice with all  algebras that can be formed with the axioms. When applying the restrictions for  partially ordered sets and partially ordered sets with greatest element, it is  a success to find enough examples to complete the specific concept lattice. An other aspect of the thesis is to examine the implicative algebras closely related to Hilbert  algebras.   For better understanding some basics in algebra are outlined in the second section. They include algebras, magmas and order theory which are needed to define Hilbert  algebras.  The third section deals with lattice theory and Galois correspondence, which are  the base to define concept lattices and regard concept analysis.  In the forth section we will take a closer look at implicative algebras, Hilbert  algebras and algebras closely related to Hilbert algebras.  The results deduced from the concept analysis are shown in the fifth section. The proven implications of the three different lattices and deduced facts are outlined.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783639492385\"\u003e\u003ch3\u003eStarting from Hilbert Algebras\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783639492385","offer_id":39466959274077,"sku":"9783639492385","price":36.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/e3a5d182-d260-4058-abae-55f1efddb4ca.jpg?v=1773726152","url":"https:\/\/shop.autorenwelt.de\/products\/concept-analysis-of-implicative-algebras-von-alexandra-hanig","provider":"Autorenwelt Shop","version":"1.0","type":"link"}