{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T03:30:07Z","timestamp":1763436607115},"reference-count":16,"publisher":"Oxford University Press (OUP)","issue":"6","license":[{"start":{"date-parts":[[2020,4,29]],"date-time":"2020-04-29T00:00:00Z","timestamp":1588118400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,12,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>It is well-known that adding to a lattice the usual relative meet complement is not conservative, in the sense that distributivity is implied. In this paper we consider a weak relative meet complement that does not have the mentioned effect. We mostly study the mentioned operation from an algebraic point of view. However, we also provide a Hilbert-style axiomatization for its corresponding assertional logic.<\/jats:p>","DOI":"10.1093\/jigpal\/jzaa010","type":"journal-article","created":{"date-parts":[[2020,3,6]],"date-time":"2020-03-06T12:25:28Z","timestamp":1583497528000},"page":"1106-1129","source":"Crossref","is-referenced-by-count":1,"title":["On a Weak Conditional"],"prefix":"10.1093","volume":"28","author":[{"given":"Jos\u00e9 Luis","family":"Castiglioni","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata 1900, Argentina and Conicet-Argentina"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Rodolfo C","family":"Ertola-Biraben","sequence":"additional","affiliation":[{"name":"CLE, Universidade Estadual de Campinas, Campinas 13083-859, 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