{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T18:37:30Z","timestamp":1757615850124,"version":"3.44.0"},"publisher-location":"Cham","reference-count":13,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783032033635"},{"type":"electronic","value":"9783032033642"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-032-03364-2_26","type":"book-chapter","created":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T15:30:59Z","timestamp":1757086259000},"page":"408-422","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Stone Duality for\u00a0Pure and\u00a0Trivial Double Boolean Algebras"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-8802-3027","authenticated-orcid":false,"given":"Gael","family":"Tenkeu Kembang","sequence":"first","affiliation":[]},{"given":"Michel","family":"Krebs","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9811-0747","authenticated-orcid":false,"given":"Leonard","family":"Kwuida","sequence":"additional","affiliation":[]},{"given":"Etienne Romuald","family":"Temgoua Alomo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3907-1546","authenticated-orcid":false,"given":"Yannick Lea","family":"Tenkeu Jeufack","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,9,6]]},"reference":[{"key":"26_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-8130-3","volume-title":"A Course in Universal Algebra","author":"S Burris","year":"1981","unstructured":"Burris, S., Sankappanavar, H.P.: A Course in Universal Algebra. Springer, New York (1981)"},{"key":"26_CR2","unstructured":"Gamelin, T.W., Greene, R.E.: Introduction to Topology, 2nd edn. Dover Publications, Inc. (1999)"},{"key":"26_CR3","doi-asserted-by":"publisher","unstructured":"Gratzer, G.: Lattice Theory: Foundation. Springer, Berlin (2011). https:\/\/doi.org\/10.1007\/978-3-0348-0018-1","DOI":"10.1007\/978-3-0348-0018-1"},{"key":"26_CR4","doi-asserted-by":"publisher","unstructured":"Kembang, G.T., Kwuida, L., Temgoua, E.R.A, Tenkeu, Y.L.J: Simple and sub-directly irreducible double Boolean algebras. arXiv:2312.13686 (2023). https:\/\/doi.org\/10.48550\/arXiv.2312.13686","DOI":"10.48550\/arXiv.2312.13686"},{"key":"26_CR5","doi-asserted-by":"publisher","unstructured":"Kwuida, L.: Prime ideal theorem for double Boolean algebras. Discussiones Math. Gener. Algebra Appl. 263\u2013275 (2007). https:\/\/doi.org\/10.7151\/dmgaa.1130","DOI":"10.7151\/dmgaa.1130"},{"key":"26_CR6","doi-asserted-by":"publisher","unstructured":"Mac Lane, S.: Categories for the Working Mathematician. Graduate Texts in Mathematics, vol. 5. Springer, New York (1978). https:\/\/doi.org\/10.1007\/978-1-4757-4721-8","DOI":"10.1007\/978-1-4757-4721-8"},{"issue":"2","key":"26_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00012-023-00811-x","volume":"84","author":"P Howlader","year":"2023","unstructured":"Howlader, P., Banerjee, M.: Topological representation of double Boolean algebras. Algebra Univ. 84(2), 1\u201332 (2023). https:\/\/doi.org\/10.1007\/s00012-023-00811-x","journal-title":"Algebra Univ."},{"key":"26_CR8","doi-asserted-by":"publisher","first-page":"375","DOI":"10.2307\/1989788","volume":"84","author":"MH Stone","year":"1937","unstructured":"Stone, M.H.: Application of the theory of Boolean rings to general topology. Trans. Am. Math. Soc. 84, 375\u2013481 (1937). https:\/\/doi.org\/10.2307\/1989788","journal-title":"Trans. Am. Math. Soc."},{"issue":"2","key":"26_CR9","doi-asserted-by":"publisher","first-page":"451","DOI":"10.7151\/dmgaa.1466","volume":"44","author":"YLJ Tenkeu","year":"2024","unstructured":"Tenkeu, Y.L.J., Tenkeu, G.K., Temgoua, E.R.A., Kwuida, L.: Filters, ideals and power of double Boolean algebras. Discussiones Math. - Gener. Algebra Appl. 44(2), 451\u2013478 (2024). https:\/\/doi.org\/10.7151\/dmgaa.1466","journal-title":"Discussiones Math. - Gener. Algebra Appl."},{"key":"26_CR10","doi-asserted-by":"publisher","unstructured":"Tenkeu, G.K., Tenkeu, J.Y.L, Temgoua, E.R.A, Kwuida, L: On double Boolean algebras: subalgebras, homomorphisms and some constructions (2024). https:\/\/doi.org\/10.13140\/RG.2.2.35809.11360","DOI":"10.13140\/RG.2.2.35809.11360"},{"key":"26_CR11","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/11528784_2","volume-title":"Formal Concept Analysis","author":"B Vormbrock","year":"2005","unstructured":"Vormbrock, B., Wille, R.: Semiconcept and protoconcept algebras: the basic theorems. In: Ganter, B., Stumme, G., Wille, R. (eds.) Formal Concept Analysis. LNCS (LNAI), vol. 3626, pp. 34\u201348. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/11528784_2"},{"key":"26_CR12","doi-asserted-by":"publisher","unstructured":"Wille, R.,: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered Sets. NATO Advanced Study Institutes Series, vol. 83. Springer, Dordrecht (1982). https:\/\/doi.org\/10.1007\/978-94-009-7798-3_15","DOI":"10.1007\/978-94-009-7798-3_15"},{"key":"26_CR13","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1007\/10722280_22","volume-title":"Conceptual Structures: Logical, Linguistic, and Computational Issues","author":"R Wille","year":"2000","unstructured":"Wille, R.: Boolean concept logic. In: Ganter, B., Mineau, G.W. (eds.) ICCS-ConceptStruct 2000. LNCS (LNAI), vol. 1867, pp. 317\u2013331. Springer, Heidelberg (2000). https:\/\/doi.org\/10.1007\/10722280_22"}],"container-title":["Lecture Notes in Computer Science","Conceptual Knowledge Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-03364-2_26","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T15:31:01Z","timestamp":1757086261000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-03364-2_26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783032033635","9783032033642"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-03364-2_26","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"6 September 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"The authors have no competing interests to declare that are relevant to the content of this article.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Disclosure of Interests"}},{"value":"CONCEPTS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Joint Conference on Conceptual Knowledge Structures","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cluj-Napoca","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Romania","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 September 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 September 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccs-conceptstruct2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/concepts2025.conference.ubbcluj.ro\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}