{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:12:32Z","timestamp":1760058752286,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2025,4,25]],"date-time":"2025-04-25T00:00:00Z","timestamp":1745539200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Portuguese Foundation for Science and Technology FCT\/MCTES (PIDDAC)","award":["LA\/P\/0112\/2020","UIDP\/04044\/2020","UIDB\/04044\/2020","PAMI-ROTEIRO\/0328\/2013","CENTRO-01-0145-FEDER-000014-3362"],"award-info":[{"award-number":["LA\/P\/0112\/2020","UIDP\/04044\/2020","UIDB\/04044\/2020","PAMI-ROTEIRO\/0328\/2013","CENTRO-01-0145-FEDER-000014-3362"]}]},{"name":"CDRSP and ESTG from the Polytechnic of Leiria","award":["LA\/P\/0112\/2020","UIDP\/04044\/2020","UIDB\/04044\/2020","PAMI-ROTEIRO\/0328\/2013","CENTRO-01-0145-FEDER-000014-3362"],"award-info":[{"award-number":["LA\/P\/0112\/2020","UIDP\/04044\/2020","UIDB\/04044\/2020","PAMI-ROTEIRO\/0328\/2013","CENTRO-01-0145-FEDER-000014-3362"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>Although algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations. In this context, we introduce structures that contain two constants and a ternary operation. We demonstrate that these structures are isomorphic to various significant algebraic systems, including Boolean algebras, de Morgan algebras, MV-algebras, and (near-)rings of characteristic two. Our work highlights the versatility of ternary operations in describing and connecting diverse algebraic structures.<\/jats:p>","DOI":"10.3390\/math13091407","type":"journal-article","created":{"date-parts":[[2025,4,25]],"date-time":"2025-04-25T08:02:57Z","timestamp":1745568177000},"page":"1407","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Reconstructing Classical Algebras via Ternary Operations"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7510-5534","authenticated-orcid":false,"given":"Jorge P.","family":"Fatelo","sequence":"first","affiliation":[{"name":"School of Technology and Management, Polytechnic of Leiria, 2411-901 Leiria, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4199-7367","authenticated-orcid":false,"given":"Nelson","family":"Martins-Ferreira","sequence":"additional","affiliation":[{"name":"School of Technology and Management, Polytechnic of Leiria, 2411-901 Leiria, Portugal"},{"name":"CDRSP (Centre for Rapid and Sustainable Product Development), Polytechnic of Leiria, 2411-901 Leiria, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2025,4,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1090\/S0002-9904-1947-08834-0","article-title":"Ternary Boolean algebras","volume":"53","author":"Grau","year":"1947","journal-title":"Bull. 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