{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:14:17Z","timestamp":1753881257724,"version":"3.41.2"},"reference-count":3,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,9,28]],"date-time":"2011-09-28T00:00:00Z","timestamp":1317168000000},"content-version":"vor","delay-in-days":270,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>Let <jats:bold>X<\/jats:bold> be an arbitrary nonempty set and <jats:bold>L<\/jats:bold> a lattice of subsets of <jats:bold>X<\/jats:bold> such that <jats:italic>\u2205<\/jats:italic>, <jats:bold>X<\/jats:bold> \u2208 <jats:bold>L<\/jats:bold>. <jats:bold>A<\/jats:bold>(<jats:bold>L<\/jats:bold>) denotes the algebra generated by <jats:bold>L<\/jats:bold>, and <jats:bold>M<\/jats:bold>(<jats:bold>L<\/jats:bold>) denotes those nonnegative, finite, finitely additive measures on <jats:bold>A<\/jats:bold>(<jats:bold>L<\/jats:bold>). In addition, <jats:bold>I<\/jats:bold>(<jats:bold>L<\/jats:bold>) denotes the subset of <jats:bold>M<\/jats:bold>(<jats:bold>L<\/jats:bold>) which consists of the nontrivial zero\u2010one valued measures. The paper gives detailed analysis of products of lattices, their associated Wallman spaces, and products of a variety of measures.<\/jats:p>","DOI":"10.1155\/2011\/920737","type":"journal-article","created":{"date-parts":[[2011,9,28]],"date-time":"2011-09-28T19:02:20Z","timestamp":1317236540000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Topological Aspects of the Product of Lattices"],"prefix":"10.1155","volume":"2011","author":[{"given":"Carmen","family":"Vlad","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,9,28]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171287000814"},{"key":"e_1_2_6_2_2","first-page":"617","article-title":"Realcompactness is a Baire-measurable property","volume":"19","author":"Frol\u00edk Z.","year":"1971","journal-title":"Bulletin de l\u2032Acad\u00e9mie Polonaise des Sciences"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01124082"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/920737.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/920737.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2011\/920737","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T13:50:48Z","timestamp":1718027448000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/10.1155\/2011\/920737"}},"subtitle":[],"editor":[{"given":"Alexander","family":"Rosa","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":3,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1155\/2011\/920737"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1155\/2011\/920737","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2011,1]]},"assertion":[{"value":"2011-06-08","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-07-23","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-09-28","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"920737"}}