{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:17:18Z","timestamp":1740107838442,"version":"3.37.3"},"reference-count":5,"publisher":"Springer Science and Business Media LLC","issue":"13","license":[{"start":{"date-parts":[[2020,5,19]],"date-time":"2020-05-19T00:00:00Z","timestamp":1589846400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,5,19]],"date-time":"2020-05-19T00:00:00Z","timestamp":1589846400000},"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":[[2020,7]]},"DOI":"10.1007\/s00500-020-04976-8","type":"journal-article","created":{"date-parts":[[2020,5,19]],"date-time":"2020-05-19T18:05:18Z","timestamp":1589911518000},"page":"9375-9381","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Conrad\u2019s F-condition for partially ordered monoids"],"prefix":"10.1007","volume":"24","author":[{"given":"Pengyuan","family":"Liu","sequence":"first","affiliation":[]},{"given":"Yichuan","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Muhammad","family":"Zafrullah","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,5,19]]},"reference":[{"key":"4976_CR1","volume-title":"Lattice theory, AMS. colloq","author":"G Birkhoff","year":"1995","unstructured":"Birkhoff G (1995) Lattice theory, AMS. colloq. Publications, Providence"},{"key":"4976_CR2","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1090\/S0002-9947-1961-0121405-2","volume":"99","author":"P Conrad","year":"1961","unstructured":"Conrad P (1961) Some structure theorems for lattice-ordered groups. Trans Am Math Soc 99:212\u2013240","journal-title":"Trans Am Math Soc"},{"issue":"1","key":"4976_CR3","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1515\/JGT.2008.002","volume":"11","author":"J Mott","year":"2008","unstructured":"Mott J, Rashid M, Zafrullah M (2008) Factoriality in Riesz groups. J Group Theory 11(1):23\u201341","journal-title":"J Group Theory"},{"key":"4976_CR4","doi-asserted-by":"publisher","first-page":"1957","DOI":"10.1090\/S0002-9947-03-03369-5","volume":"356","author":"F Wehrung","year":"2004","unstructured":"Wehrung F (2004) Semilattices of finitely generated ideals of exchange rings with finite stable rank. Trans Am Math Soc 356:1957\u20131970","journal-title":"Trans Am Math Soc"},{"key":"4976_CR5","doi-asserted-by":"publisher","first-page":"1047","DOI":"10.1007\/s13369-011-0093-1","volume":"36","author":"YC Yang","year":"2011","unstructured":"Yang YC, Zafrullah M (2011) Bases of pre-Riesz groups and Contrad\u2019s F-condition. Arab J Sci Eng 36:1047\u20131061","journal-title":"Arab J Sci Eng"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-04976-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-020-04976-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-04976-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,18]],"date-time":"2021-05-18T23:43:57Z","timestamp":1621381437000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-020-04976-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,19]]},"references-count":5,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["4976"],"URL":"https:\/\/doi.org\/10.1007\/s00500-020-04976-8","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"type":"print","value":"1432-7643"},{"type":"electronic","value":"1433-7479"}],"subject":[],"published":{"date-parts":[[2020,5,19]]},"assertion":[{"value":"19 May 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":"Conflict of interest"}}]}}