{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T02:55:07Z","timestamp":1768791307498,"version":"3.49.0"},"reference-count":9,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2008,12,15]],"date-time":"2008-12-15T00:00:00Z","timestamp":1229299200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper we study the category of hyper MV\u2010algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV\u2010algebra by a set. We use this to show that in the category of hyper MV\u2010algebras the monomorphisms are exactly the one\u2010to\u2010one homomorphisms. (\u00a9 2009 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200710082","type":"journal-article","created":{"date-parts":[[2008,12,15]],"date-time":"2008-12-15T18:01:24Z","timestamp":1229364084000},"page":"21-30","source":"Crossref","is-referenced-by-count":5,"title":["On the category of hyper MV\u2010algebras"],"prefix":"10.1002","volume":"55","author":[{"given":"Shokoofeh","family":"Ghorbani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Esfandiar","family":"Eslami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abbas","family":"Hasankhani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2008,12,15]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"J.Adamek H.Herrlich andC.Strecker Abstract and Concrete Categories (John Wiley and Sons 1990)."},{"key":"e_1_2_1_3_2","first-page":"113","article-title":"On hyper K\u2010algebra","volume":"52","author":"Borzoei R. A.","year":"2000","journal-title":"Math. Japonica"},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1090\/S0002-9947-1958-0094302-9","article-title":"Algebraic analysis of many valued logic","volume":"88","author":"Chang C. C.","year":"1958","journal-title":"Trans. Amer. Math. Soc."},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","unstructured":"R.Cignoli I.D'Ottaviano andD.Mundici Algebraic Foundations of Many\u2010Valued Reasoning. Trends in Logic 7 (Kluwer Academic Publishers 2000).","DOI":"10.1007\/978-94-015-9480-6_2"},{"key":"e_1_2_1_6_2","unstructured":"S.Ghorbani A.Hasankhani andE.Eslami Hyper MV\u2010algebras. To appear in Set\u2010Valued Mathematics and Applications."},{"key":"e_1_2_1_7_2","first-page":"371","article-title":"Quotient hyper MV\u2010algebras","volume":"3","author":"Ghorbani S.","year":"2007","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"e_1_2_1_8_2","first-page":"859","article-title":"Free BCK\u2010algebras and the tensor product of BCK\u2010algebras","volume":"6","author":"Jia X.","year":"1986","journal-title":"Math. Japonica"},{"key":"e_1_2_1_9_2","unstructured":"F.Marty Sur une g\u00e9n\u00e9ralization de la notion de groups. In: 8th congress Math. Scandinaves Stockholm 1934 pp. 45\u201349."},{"key":"e_1_2_1_10_2","unstructured":"J.Meng andY. B.Jun BCK\u2010Algebras (Kyung Moons 1994)."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200710082","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200710082","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.200710082","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T07:25:43Z","timestamp":1697613943000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.200710082"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12,15]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1002\/malq.200710082"],"URL":"https:\/\/doi.org\/10.1002\/malq.200710082","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,12,15]]}}}