{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,22]],"date-time":"2026-02-22T23:08:45Z","timestamp":1771801725885,"version":"3.50.1"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","funder":[{"name":"JSPS KAKENHI","award":["20J11910"],"award-info":[{"award-number":["20J11910"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,12]]},"abstract":"<jats:p>We prove that the rational function semifield of a tropical curve is finitely generated as a semifield over the tropical semifield [Formula: see text] by giving a specific finite generating set. Also, we show that for a finite harmonic morphism between tropical curves [Formula: see text], the rational function semifield of [Formula: see text] is finitely generated as a [Formula: see text]-algebra, where [Formula: see text] stands for the pull-back of the rational function semifield of [Formula: see text] by [Formula: see text].<\/jats:p>","DOI":"10.1142\/s0218196722500710","type":"journal-article","created":{"date-parts":[[2022,11,30]],"date-time":"2022-11-30T03:01:45Z","timestamp":1669777305000},"page":"1575-1594","source":"Crossref","is-referenced-by-count":2,"title":["Rational function semifields of tropical curves are finitely generated over the tropical semifield"],"prefix":"10.1142","volume":"32","author":[{"given":"Song","family":"JuAe","sequence":"first","affiliation":[{"name":"Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji Tokyo, 192-0397, Japan"}]}],"member":"219","published-online":{"date-parts":[[2022,11,30]]},"reference":[{"issue":"9","key":"S0218196722500710BIB001","doi-asserted-by":"crossref","first-page":"4851","DOI":"10.1090\/S0002-9947-2013-05789-3","volume":"365","author":"Amini O.","year":"2013","journal-title":"Trans. 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