{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T13:02:04Z","timestamp":1717592524797},"reference-count":9,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3969,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1996,1]]},"abstract":"Abstract<\/jats:title>In [9] Mundici introduced a categorical equivalence \u0393 between the category of MV\u2010algebras and the category of abelian \ud835\udcc1\u2010groups with strong unit. Using Mundici's functor \u0393, in [8] the authors established an equivalence between the category of perfect MV\u2010algebras and the category of abelian \ud835\udcc1\u2010groups. Aim of the present paper is to use the above functors to provide Yosida like representations (see [4]) of a large class of MV\u2010algebras.<\/jats:p>Mathematics Subject Classification: 03G20, 03B50, 06D30, 06F20.<\/jats:p>","DOI":"10.1002\/malq.19960420143","type":"journal-article","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T15:26:43Z","timestamp":1180538803000},"page":"551-563","source":"Crossref","is-referenced-by-count":14,"title":["Yosida Type Representation for Perfect MV\u2010Algebras"],"prefix":"10.1002","volume":"42","author":[{"given":"Lawrence P.","family":"Belluce","sequence":"first","affiliation":[]},{"given":"Antonio Di","family":"Nola","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1986-069-0"},{"key":"e_1_2_1_3_2","first-page":"41","article-title":"On some lattice quotients of MV\u2010algebras","volume":"39","author":"Belluce L. P.","year":"1990","journal-title":"Ricerche di Matematica (Naples)"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01190751"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","unstructured":"Bigard A. K.Keimel andS.Wolfenstein Groupes et Anneaux Reticules. Springer Lecture Notes in Mathematics 608 (1977).","DOI":"10.1007\/BFb0067004"},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1090\/S0002-9947-1958-0094302-9","article-title":"Algebraic analysis of many valued logics","volume":"88","author":"Chang C. C.","year":"1958","journal-title":"Trans. Amer. Math. Soc."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/1993423"},{"key":"e_1_2_1_8_2","first-page":"291","article-title":"Representation and reticulation by quotients of MV\u2010algebras","volume":"40","author":"Di Nola A.","year":"1991","journal-title":"Ricerche di Matematica (Naples)"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01057937"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(86)90015-7"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19960420143","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19960420143","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T22:13:17Z","timestamp":1698358397000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19960420143"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,1]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,1]]}},"alternative-id":["10.1002\/malq.19960420143"],"URL":"https:\/\/doi.org\/10.1002\/malq.19960420143","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,1]]}}}