{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T15:40:07Z","timestamp":1774453207256,"version":"3.50.1"},"reference-count":13,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,7,24]],"date-time":"2006-07-24T00:00:00Z","timestamp":1153699200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2006,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The present paper introduces and studies the variety \ud835\udcb2\u210b\ufe01<jats:sub><jats:italic>n<\/jats:italic><\/jats:sub> of <jats:italic>n<\/jats:italic>\u2010linear weakly Heyting algebras. It corresponds to the algebraic semantic of the strict implication fragment of the normal modal logic <jats:italic>K<\/jats:italic> with a generalization of the axiom that defines the linear intuitionistic logic or Dummett logic. Special attention is given to the variety \ud835\udcb2\u210b\ufe01<jats:sub>2<\/jats:sub> that generalizes the linear Heyting algebras studied in [10] and [12], and the linear Basic algebras introduced in [2]. (\u00a9 2006 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200510041","type":"journal-article","created":{"date-parts":[[2006,7,24]],"date-time":"2006-07-24T14:48:04Z","timestamp":1153752484000},"page":"404-416","source":"Crossref","is-referenced-by-count":10,"title":["<i>n<\/i>\u2010linear weakly Heyting algebras"],"prefix":"10.1002","volume":"52","author":[{"given":"Sergio A.","family":"Celani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,7,24]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19980440304"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200310077"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200410022"},{"key":"e_1_2_1_5_2","first-page":"225","article-title":"A closer look at some subintuitionistic logics","volume":"42","author":"Celani S.","year":"2003","journal-title":"Notre Dame J. Formal Logic"},{"key":"e_1_2_1_6_2","unstructured":"R.Dwinger andR.Balbes Distributive Lattices (University of Missouri Press 1974)."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/2964753"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19760220128"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00098-7"},{"key":"e_1_2_1_10_2","doi-asserted-by":"crossref","unstructured":"P.H\u00e1jek Metamathematics of Fuzzy Logic. Trends in Logic 4 (Kluwer 1998).","DOI":"10.1007\/978-94-011-5300-3"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093894723"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.2307\/2270905"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093894072"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008237600846"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200510041","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.200510041","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T18:05:22Z","timestamp":1697652322000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.200510041"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7,24]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2006,8]]}},"alternative-id":["10.1002\/malq.200510041"],"URL":"https:\/\/doi.org\/10.1002\/malq.200510041","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7,24]]}}}