{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T08:04:41Z","timestamp":1768723481376,"version":"3.49.0"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"19","license":[{"start":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T00:00:00Z","timestamp":1597190400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T00:00:00Z","timestamp":1597190400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771004"],"award-info":[{"award-number":["11771004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2020,10]]},"DOI":"10.1007\/s00500-020-05231-w","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T12:03:20Z","timestamp":1597233800000},"page":"14327-14332","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Basic algebras and L-algebras"],"prefix":"10.1007","volume":"24","author":[{"given":"Jing","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yali","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yichuan","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,8,12]]},"reference":[{"issue":"2","key":"5231_CR1","doi-asserted-by":"publisher","first-page":"171","DOI":"10.2478\/s12175-010-0003-0","volume":"60","author":"M Botur","year":"2010","unstructured":"Botur M (2010) An example of a commutative basic algebra which is not an MV-algebra. Math. Slovaca 60(2):171\u2013178","journal-title":"Math. Slovaca"},{"issue":"1\u20132","key":"5231_CR2","first-page":"69","volume":"14","author":"M Botur","year":"2008","unstructured":"Botur M, Hala\u0161 R (2008) Finite commutative basic algebras are MV-effect algebras. J Mult-Valued Logic Soft Comput 14(1\u20132):69\u201380","journal-title":"J Mult-Valued Logic Soft Comput"},{"issue":"3","key":"5231_CR3","doi-asserted-by":"publisher","first-page":"1550040","DOI":"10.1142\/S1793557115500400","volume":"8","author":"I Chajda","year":"2015","unstructured":"Chajda I (2015) Basic algebras, logics, trends and applications. Asian-Eur J Math 8(3):1550040","journal-title":"Asian-Eur J Math"},{"key":"5231_CR4","first-page":"1","volume-title":"Basic algebras and their applications. An overview. Contributions to general algebra","author":"I Chajda","year":"2012","unstructured":"Chajda I (2012) Basic algebras and their applications. An overview. Contributions to general algebra, vol 20. Heyn, Klagenfurt, pp 1\u201310"},{"issue":"1","key":"5231_CR5","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s00012-008-2086-9","volume":"60","author":"I Chajda","year":"2009","unstructured":"Chajda I, Hala\u0161 R, K\u00fchr J (2009) Many-valued quantum algebras. Algebra Univ 60(1):63\u201390","journal-title":"Algebra Univ"},{"key":"5231_CR6","volume-title":"Semilattice structure","author":"I Chajda","year":"2007","unstructured":"Chajda I, Hala\u0161 R, K\u00fchr J (2007) Semilattice structure. Heldermann Verlag, Lemgo"},{"key":"5231_CR7","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s00500-008-0291-2","volume":"13","author":"I Chajda","year":"2009","unstructured":"Chajda I, Kol\u0161\u00edk M (2009) Independence of axiom system of basic algebras. Soft Comput 13:41\u201343","journal-title":"Soft Comput"},{"key":"5231_CR8","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1090\/S0002-9947-1958-0094302-9","volume":"88","author":"CC Chang","year":"1958","unstructured":"Chang CC (1958) Algebraic analysis of many valued logics. Trans Am Math Soc 88:467\u2013490","journal-title":"Trans Am Math Soc"},{"key":"5231_CR9","volume-title":"Quantum logics, handbook of philosophical logic","author":"MLD Chiara","year":"2002","unstructured":"Chiara MLD, Giuntini R (2002) Quantum logics, handbook of philosophical logic. Springer, Dordrecht"},{"issue":"10","key":"5231_CR10","doi-asserted-by":"publisher","first-page":"1331","DOI":"10.1007\/BF02283036","volume":"24","author":"DJ Foulis","year":"1994","unstructured":"Foulis DJ, Bennett MK (1994) Effect algebras and unsharp quantum logics. Found Phys 24(10):1331\u20131352","journal-title":"Found Phys"},{"key":"5231_CR11","volume-title":"Orthomodular lattices, London mathematical society monographs, 18","author":"G Kalmbach","year":"1983","unstructured":"Kalmbach G (1983) Orthomodular lattices, London mathematical society monographs, 18. Academic Press, Inc., London"},{"key":"5231_CR12","doi-asserted-by":"publisher","first-page":"2328","DOI":"10.1016\/j.jalgebra.2008.05.033","volume":"320","author":"W Rump","year":"2008","unstructured":"Rump W (2008) L-algebras, self-similarity, and l-groups. J Algebra 320:2328\u20132348","journal-title":"J Algebra"},{"issue":"4","key":"5231_CR13","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1515\/forum-2017-0108","volume":"30","author":"W Rump","year":"2018","unstructured":"Rump W (2018) Von Neumann algebras, L-algebras, $$\\rm {Baer^{\\ast }}$$-monoids, and Garside groups. Forum Math 30(4):973\u2013995","journal-title":"Forum Math"},{"issue":"2","key":"5231_CR14","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/s00012-012-0172-5","volume":"67","author":"W Rump","year":"2012","unstructured":"Rump W, Yang YC (2012) Intervals in l-groups as L-algebras. Algebra Univ 67(2):121\u2013130","journal-title":"Algebra Univ"},{"key":"5231_CR15","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.fss.2018.08.013","volume":"369","author":"YL Wu","year":"2019","unstructured":"Wu YL, Wang J, Yang YC (2019) Lattice-ordered effect algebras and $$L$$-algebras. Fuzzy Sets Syst 369:103\u2013113","journal-title":"Fuzzy Sets Syst"},{"key":"5231_CR16","doi-asserted-by":"publisher","unstructured":"Wu YL, Yang YC (2020) Orthomodular lattices as L-algebras, Soft Computing (to appear). https:\/\/doi.org\/10.1007\/s00500-020-05242-7","DOI":"10.1007\/s00500-020-05242-7"},{"issue":"5\u20136","key":"5231_CR17","first-page":"621","volume":"19","author":"YC Yang","year":"2012","unstructured":"Yang YC, Rump W (2012) Pseudo-MV algebras as L-algebras. J Multi-Valued Logic Soft Comput 19(5\u20136):621\u2013632","journal-title":"J Multi-Valued Logic Soft Comput"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05231-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-020-05231-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05231-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,11]],"date-time":"2021-08-11T23:38:07Z","timestamp":1628725087000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-020-05231-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,12]]},"references-count":17,"journal-issue":{"issue":"19","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["5231"],"URL":"https:\/\/doi.org\/10.1007\/s00500-020-05231-w","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8,12]]},"assertion":[{"value":"12 August 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}]}}