{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T16:48:07Z","timestamp":1648745287252},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","license":[{"start":{"date-parts":[[2015,6,1]],"date-time":"2015-06-01T00:00:00Z","timestamp":1433116800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We formalize that the image of a semiring of sets [17] by an injective function is a semiring of sets.We offer a non-trivial example of a semiring of sets in a topological space [21]. Finally, we show that the finite product of a semiring of sets is also a semiring of sets [21] and that the finite product of a classical semiring of sets [8] is a classical semiring of sets. In this case, we use here the notation from the book of Aliprantis and Border [1].<\/jats:p>","DOI":"10.1515\/forma-2015-0011","type":"journal-article","created":{"date-parts":[[2015,8,14]],"date-time":"2015-08-14T20:14:57Z","timestamp":1439583297000},"page":"107-114","source":"Crossref","is-referenced-by-count":0,"title":["Finite Product of Semiring of Sets"],"prefix":"10.1515","volume":"23","author":[{"given":"Roland","family":"Coghetto","sequence":"first","affiliation":[{"name":"Rue de la Brasserie 5 7100 La Louvi\u00e8re, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,8,13]]},"container-title":["Formalized Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/forma\/23\/2\/article-p107.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.sciendo.com\/article\/10.1515\/forma-2015-0011","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,7]],"date-time":"2021-04-07T01:39:34Z","timestamp":1617759574000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.sciendo.com\/article\/10.1515\/forma-2015-0011"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,1]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,8,13]]},"published-print":{"date-parts":[[2015,6,1]]}},"alternative-id":["10.1515\/forma-2015-0011"],"URL":"https:\/\/doi.org\/10.1515\/forma-2015-0011","relation":{},"ISSN":["1898-9934"],"issn-type":[{"value":"1898-9934","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,1]]}}}