{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T20:35:08Z","timestamp":1758400508210,"version":"3.40.5"},"reference-count":17,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["23540237"],"award-info":[{"award-number":["23540237"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A Hilbert<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-quad module of finite type has a multistructure of Hilbert<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-bimodules with two finite bases. We will construct a<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-algebra from a Hilbert<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-quad module of finite type and prove its universality subject to certain relations among generators. Some examples of the<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-algebras from Hilbert<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-quad modules of finite type will be presented.<\/jats:p>","DOI":"10.1155\/2014\/952068","type":"journal-article","created":{"date-parts":[[2014,1,30]],"date-time":"2014-01-30T16:17:28Z","timestamp":1391098648000},"page":"1-21","source":"Crossref","is-referenced-by-count":1,"title":["<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-Algebras Associated with Hilbert<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>-Quad Modules of Finite Type"],"prefix":"10.1155","volume":"2014","author":[{"given":"Kengo","family":"Matsumoto","sequence":"first","affiliation":[{"name":"Department of Mathematics, Joetsu University of Education, Joetsu 943-8512, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"23","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1999.057"},{"key":"11","first-page":"1","volume":"6","year":"2000","journal-title":"New York Journal of Mathematics"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.07.034"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-011-9359-x"},{"issue":"7","key":"22","doi-asserted-by":"crossref","first-page":"3613","DOI":"10.1090\/S0002-9947-2013-05717-0","volume":"365","year":"2013","journal-title":"Transactions of the American Mathematical Society"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385708000795"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1515\/CRELLE.2007.026"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1006\/jfan.1998.3306"},{"issue":"1","key":"16","doi-asserted-by":"crossref","first-page":"53","DOI":"10.7146\/math.scand.a-13842","volume":"83","year":"1998","journal-title":"Mathematica Scandinavica"},{"key":"21","first-page":"189","volume-title":"A class of C\u2217-algebras generalizing both Cuntz-Krieger algebras and crossed products by \u2124","volume":"12","year":"1997"},{"key":"13"},{"key":"14"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1090\/memo\/0424"},{"issue":"858","key":"10","first-page":"87","year":"1994","journal-title":"S\u016brikaisekikenky\u016bsho K\u014dky\u016broku"},{"key":"15"},{"issue":"1","key":"17","first-page":"125","volume":"6","year":"1981","journal-title":"Journal of Operator Theory"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389192"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2014\/952068.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2014\/952068.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2014\/952068.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T02:57:26Z","timestamp":1498100246000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2014\/952068\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":17,"alternative-id":["952068","952068"],"URL":"https:\/\/doi.org\/10.1155\/2014\/952068","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2014]]}}}