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This pair can be regarded as an algebra of type (2, 2, 2, 0, 0), where . The class of subresiduated lattices is a variety which properly contains the variety of Heyting algebras. In this paper we study the subvariety of subresiduated lattices, denoted by , whose members satisfy the equation\u00a0. Inspired by the fact that in any subresiduated lattice whose order is total the previous equation\u00a0and the condition for every are satisfied, we also study the subvariety of generated by the class whose members satisfy that for every .<\/jats:p>","DOI":"10.1002\/malq.202200067","type":"journal-article","created":{"date-parts":[[2023,7,11]],"date-time":"2023-07-11T12:49:22Z","timestamp":1689079762000},"page":"207-220","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["On the variety of strong subresiduated lattices"],"prefix":"10.1002","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2542-4128","authenticated-orcid":false,"given":"Sergio","family":"Celani","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica Facultad de Ciencias Exactas Universidad Nacional del Centro de la Provincia de Buenos Aires, and Conicet Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hern\u00e1n J. San","family":"Mart\u00edn","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Facultad de Ciencias Exactas Universidad Nacional de La Plata, and Conicet Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,7,11]]},"reference":[{"key":"e_1_2_8_2_1","volume-title":"Distributive Lattices","author":"Balbes R.","year":"1974"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.2307\/2269766"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-021-00777-4"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11225-022-10020-7"},{"key":"e_1_2_8_6_1","doi-asserted-by":"crossref","unstructured":"J. L.Castiglioni V.Fern\u00e1ndez H. F.Mallea andH. J.San Mart\u00edn On subreducts of subresiduated lattices and logic arXiv:2211.02963(2022).","DOI":"10.1093\/logcom\/exad042"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200510041"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200410022"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00012-021-00752-3"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2022.05.019"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19760220128"},{"key":"e_1_2_8_12_1","volume-title":"Abstract Algebraic Logic. An introductory Textbook","author":"Font J. M.","year":"2016"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.202200067","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,23]],"date-time":"2024-10-23T23:36:52Z","timestamp":1729726612000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.202200067"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,5]]}},"alternative-id":["10.1002\/malq.202200067"],"URL":"https:\/\/doi.org\/10.1002\/malq.202200067","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5]]},"assertion":[{"value":"2022-11-30","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-03-14","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-07-11","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}