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In particular, we show that directly indecomposable <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>\u2010algebras are equivalent to local <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>\u2010algebras and any nontrivial <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>\u2010algebra is representable as a weak Boolean product of local <jats:italic>R<\/jats:italic><jats:sub>0<\/jats:sub>\u2010algebras (\u00a9 2010 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200910006","type":"journal-article","created":{"date-parts":[[2010,5,20]],"date-time":"2010-05-20T08:23:41Z","timestamp":1274343821000},"page":"289-298","source":"Crossref","is-referenced-by-count":2,"title":["Boolean products of <i>R<\/i><sub>0<\/sub>\u2010algebras"],"prefix":"10.1002","volume":"56","author":[{"given":"Xiangnan","family":"Zhou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingguo","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,5,19]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02844626"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"S.Burris andH. 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