{"id":{"repo_id":"qucosa-diss","oai_identifier":"oai:qucosa:de:qucosa:24157"},"canonical_url":"https://search.dev.ndltd.org/etd/qucosa-diss/oai:qucosa:de:qucosa:24157","repository":{"repo_id":"qucosa-diss","name":"QUCOSA","base_url":"http://www.qucosa.de/oai/"},"display":{"title":"Varieties and Clones of Relational Structures","abstract":"We present an axiomatization of relational varieties, i.e., classes of relational structures closed under formation of products and retracts, by a certain class of first-order sentences. We apply this result to categorically equivalent algebras and primal algebras. We consider the relational varieties generated by structures with minimal clone, rigid structures and two-element structures.","abstract_html":"We present an axiomatization of relational varieties, i.e., classes of relational structures closed under formation of products and retracts, by a certain class of first-order sentences. We apply this result to categorically equivalent algebras and primal algebras. We consider the relational varieties generated by structures with minimal clone, rigid structures and two-element structures.","abstract_has_math":false,"creators":["Grabowski, Jens-Uwe"],"institution":"Technische Universität Dresden","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Pöschel, Reinhard","Rosenberg, Ivo G.","Zadori, Laszlo"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2002,"date_issued":"2002-06-07","date_published":"2002-06-07","updated_at":"2026-07-24T03:56:55Z","subjects":["Klon","kategoriell equivalente Algebren","primale Algebren","relationale Varietät","categorically equivalent algebras","clone","primal algebras","relational variety"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Pöschel, Reinhard","Rosenberg, Ivo G.","Zadori, Laszlo"]},{"key":"dc:creator","label":"Author","values":["Grabowski, Jens-Uwe"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden","Technische Universität Dresden"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Technische Universität Dresden"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Klon","kategoriell equivalente Algebren","primale Algebren","relationale Varietät","categorically equivalent algebras","clone","primal algebras","relational variety"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We present an axiomatization of relational varieties, i.e., classes of relational structures closed under formation of products and retracts, by a certain class of first-order sentences. We apply this result to categorically equivalent algebras and primal algebras. We consider the relational varieties generated by structures with minimal clone, rigid structures and two-element structures."]},{"key":"dc:title","label":"Title","values":["Varieties and Clones of Relational Structures"]}]}],"canonical_facts":{"dc:contributor":["Pöschel, Reinhard","Rosenberg, Ivo G.","Zadori, Laszlo"],"dc:creator":["Grabowski, Jens-Uwe"],"dc:description.abstract":["We present an axiomatization of relational varieties, i.e., classes of relational structures closed under formation of products and retracts, by a certain class of first-order sentences. We apply this result to categorically equivalent algebras and primal algebras. We consider the relational varieties generated by structures with minimal clone, rigid structures and two-element structures."],"dc:publisher":["Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden","Technische Universität Dresden"],"dc:subject":["Klon","kategoriell equivalente Algebren","primale Algebren","relationale Varietät","categorically equivalent algebras","clone","primal algebras","relational variety"],"dc:title":["Varieties and Clones of Relational Structures"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Technische Universität Dresden"]},"updated_at":"2026-07-24T03:56:55Z"}