{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:16Z","timestamp":1740141436343,"version":"3.37.3"},"reference-count":16,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2021,2,1]],"date-time":"2021-02-01T00:00:00Z","timestamp":1612137600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100002923","name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","doi-asserted-by":"publisher","award":["PPID\/X047"],"award-info":[{"award-number":["PPID\/X047"]}],"id":[{"id":"10.13039\/501100002923","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,5,21]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper deals about dualities for bounded prelinear Hilbert algebras. In particular, we give an Esakia-style duality between the algebraic category of bounded prelinear Hilbert algebras and a category of H-spaces whose morphisms are certain continuous p-morphisms.<\/jats:p>","DOI":"10.1093\/jigpal\/jzab001","type":"journal-article","created":{"date-parts":[[2021,1,13]],"date-time":"2021-01-13T04:25:31Z","timestamp":1610511931000},"page":"409-421","source":"Crossref","is-referenced-by-count":0,"title":["Dualities for Bounded Prelinear Hilbert Algebras"],"prefix":"10.1093","volume":"30","author":[{"given":"Hern\u00e1n J","family":"San Mart\u00edn","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas (UNLP), and CONICET. Casilla de Correos 172, La Plata (1900), Argentina"}]},{"given":"Valeria A","family":"S\u00edgal","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas (UNLP), and CONICET. Casilla de Correos 172, La Plata (1900), Argentina"}]}],"member":"286","published-online":{"date-parts":[[2021,2,1]]},"reference":[{"volume-title":"Distributive Lattices","year":"1974","author":"Balbes","key":"2022052312303611100_ref1"},{"key":"2022052312303611100_ref2","first-page":"463","article-title":"Representation and duality for Hilbert algebras","volume":"7","author":"Cabrer","year":"2009","journal-title":"Central European Journal of Mathematics,"},{"key":"2022052312303611100_ref3","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.fss.2019.08.008","article-title":"Prelinear Hilbert algebras","volume":"397","author":"Castiglioni","year":"2020","journal-title":"Fuzzy Sets and Systems"},{"key":"2022052312303611100_ref4","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1155\/S0161171202011134","article-title":"A note on homomorphism of Hilbert algebras","volume":"29","author":"Celani","year":"2002","journal-title":"International Journal of Mathematics and Mathematical Sciences"},{"key":"2022052312303611100_ref5","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1007\/s11083-015-9378-4","article-title":"A note on Hilbert algebras and their related generalized Esakia spaces","volume":"33","author":"Celani","year":"2016","journal-title":"Order"},{"key":"2022052312303611100_ref6","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/s00012-012-0178-z","article-title":"Hilbert algebras with supremum","volume":"67","author":"Celani","year":"2012","journal-title":"Algebra Universalis,"},{"volume-title":"Instituto de Matem\u00e1tica","year":"1965","author":"Diego","key":"2022052312303611100_ref7"},{"key":"2022052312303611100_ref8","first-page":"147","volume":"15","author":"Esakia","year":"1974","journal-title":"Topological Kripke models. Soviet Mathematical Doklady"},{"key":"2022052312303611100_ref9","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-011-5300-3","volume-title":"Methamathematics of Fuzzy Logic","author":"H\u00e1jek","year":"1998"},{"key":"2022052312303611100_ref10","doi-asserted-by":"crossref","first-page":"391","DOI":"10.2307\/2964545","article-title":"The separation theorem of intuitionistic propositional calculus","volume":"27","author":"Horn","year":"1962","journal-title":"Journal of Symbolic Logic"},{"key":"2022052312303611100_ref11","doi-asserted-by":"crossref","first-page":"395","DOI":"10.2307\/2270905","article-title":"Logic with truth values in a linearly ordered Heyting algebra","volume":"34","author":"Horn","year":"1969","journal-title":"Journal of Symbolic Logic"},{"key":"2022052312303611100_ref12","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1023\/A:1006224930256","article-title":"On Priestley spaces of lattice-ordered algebraic structures","volume":"15","author":"Mart\u00ednez","year":"1998","journal-title":"Order"},{"key":"2022052312303611100_ref13","first-page":"1","article-title":"Sur les algebres de Heyting sym\u00e9triques","volume":"39","author":"Monteiro","year":"1980","journal-title":"Portugaliae Mathematica"},{"article-title":"Les algebras de Hilbert lin\u00e9aires","year":"1996","author":"Monteiro","key":"2022052312303611100_ref14"},{"key":"2022052312303611100_ref15","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1017\/jsl.2018.47","article-title":"A logical and algebraic characterization of adjunctions between generalized quasi-varieties","volume":"83","author":"Moraschini","year":"2018","journal-title":"The Journal of Symbolic Logic,"},{"key":"2022052312303611100_ref16","article-title":"An algebraic approach to non-classical logics","volume-title":"Studies in Logic and the Foundations of Mathematics 78","author":"Rasiowa","year":"1974"}],"container-title":["Logic Journal of the IGPL"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/academic.oup.com\/jigpal\/article-pdf\/30\/3\/409\/43781582\/jzab001.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jigpal\/article-pdf\/30\/3\/409\/43781582\/jzab001.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,23]],"date-time":"2022-05-23T12:30:57Z","timestamp":1653309057000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jigpal\/article\/30\/3\/409\/6122867"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,1]]},"references-count":16,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2021,2,1]]},"published-print":{"date-parts":[[2022,5,21]]}},"URL":"https:\/\/doi.org\/10.1093\/jigpal\/jzab001","relation":{},"ISSN":["1367-0751","1368-9894"],"issn-type":[{"type":"print","value":"1367-0751"},{"type":"electronic","value":"1368-9894"}],"subject":[],"published-other":{"date-parts":[[2022,5]]},"published":{"date-parts":[[2021,2,1]]}}}