{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T19:45:54Z","timestamp":1762458354958},"reference-count":20,"publisher":"Duke University Press","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[1994,10,1]]},"DOI":"10.1305\/ndjfl\/1040408612","type":"journal-article","created":{"date-parts":[[2003,2,25]],"date-time":"2003-02-25T21:36:23Z","timestamp":1046208983000},"source":"Crossref","is-referenced-by-count":12,"title":["Representations for Small Relation Algebras"],"prefix":"10.1215","volume":"35","author":[{"given":"Hajnal","family":"Andr\u00e9ka","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roger D.","family":"Maddux","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"73","reference":[{"key":"1","unstructured":"Backer, F., \u201cReport for a seminar on relation algebras conducted by A. Tarski,\" <i>Seminar Report<\/i>, Berkeley, 1970."},{"key":"2","unstructured":"Comer, S., \u201cColor schemes forbidding monochrome triangles,\" <i>Congressus Numerantium<\/i>, vol. 39 (1983), pp. 231\u2013236. Zbl 0537.05044 MR 85f:05052"},{"key":"3","unstructured":"Comer, S.,\t\u201cConstructions of color schemes,\" <i>Acta Universitatus Carolinae<\/i>, vol. 24 (1983), pp. 39\u201348. Zbl 0532.20042 MR 85i:05018"},{"key":"4","unstructured":"Comer, S.,\t\u201cA remark on chromatic polygroups,\" <i>Congressus Numerantium<\/i>, vol. 38 (1983), pp. 85-95. Zbl 0539.20041 MR 85d:20085"},{"key":"5","doi-asserted-by":"crossref","unstructured":"Comer, S., \u201cA new foundation for the theory of relations,\" <i>Notre Dame Journal of Formal Logic<\/i>, vol. 24 (1983), pp. 181\u2013187. Zbl 0476.03061 MR 84g:03104","DOI":"10.1305\/ndjfl\/1093870308"},{"key":"6","doi-asserted-by":"crossref","unstructured":"Comer, S.,\t\u201cExtension of polygroups by polygroups and their representations using color schemes,\" pp. 91\u2013103 in\t<i>Universal Algebra and Lattice Theory<\/i>, Lecture Notes in Mathematics, vol. 1004, Springer-Verlag, Berlin, 1983. Zbl 0521.20052 MR 85d:20086","DOI":"10.1007\/BFb0063431"},{"key":"7","doi-asserted-by":"publisher","unstructured":"Comer, S.,\t\u201cCombinatorial aspects of relations,\" <i>Algebra Universalis<\/i>, vol. 18 (1984), pp. 77\u201394. Zbl 0549.20059 MR 85h:08008","DOI":"10.1007\/BF01182249"},{"key":"8","unstructured":"Comer, S.,\t<i>Multi-Valued Algebras and their Graphical Representations<\/i>, Mathematics and Computer Science Department, Charleston, 1986."},{"key":"9","doi-asserted-by":"crossref","unstructured":"Graver, J., and M. Watkins, <i>Combinatorics with Emphasis on the Theory of Graphs<\/i>, Graduate Texts in Mathematics, vol. 54, Springer-Verlag, Berlin, 1977. Zbl 0367.05001 MR 58:21632","DOI":"10.1007\/978-1-4612-9914-1"},{"key":"10","doi-asserted-by":"publisher","unstructured":"Greenwood, R., and A. Gleason, \u201cCombinatorial relations and chromatic graphs,\" <i>Canadian Journal of Mathematics<\/i>, vol. 7 (1955), pp. 1\u20137. Zbl 0064.17901 MR 16,733g","DOI":"10.4153\/CJM-1955-001-4"},{"key":"11","doi-asserted-by":"crossref","unstructured":"J\u00f3nsson, B., \u201cVarieties of relation algebras,\" <i>Algebra Universalis<\/i>, vol. 15 (1982), pp. 273\u2013298. Zbl 0545.08009 MR 84g:08023","DOI":"10.1007\/BF02483728"},{"key":"12","doi-asserted-by":"crossref","unstructured":"J\u00f3nsson, B., \u201cRelation algebras and Schr\u00f6der categories,\" <i>Discrete Mathematics<\/i>, vol. 70 (1988), pp. 27\u201345. Zbl 0649.03047","DOI":"10.1016\/0012-365X(88)90078-7"},{"key":"13","doi-asserted-by":"crossref","unstructured":"J\u00f3nsson, B., and A. Tarski, \u201cBoolean algebras with operators, Part I,\" <i>American Journal of Mathematics<\/i>, vol. 73 (1951), pp. 891\u2013939. Zbl 0045.31505 MR 13,426c","DOI":"10.2307\/2372123"},{"key":"14","doi-asserted-by":"crossref","unstructured":"J\u00f3nsson, B., and A. Tarski, \u201cBoolean algebras with operators, Part II,\" <i>American Journal of Mathematics<\/i>, vol. 74 (1952), pp. 127\u2013162. Zbl 0045.31601 MR 13,524g","DOI":"10.2307\/2372074"},{"key":"15","doi-asserted-by":"publisher","unstructured":"Lyndon, R., \u201cThe representation of relational algebras,\" <i>Annals of Mathematics<\/i>, (series 2), vol. 51 (1950), pp. 707\u2013729. Zbl 0037.29302 MR 12,237a","DOI":"10.2307\/1969375"},{"key":"16","doi-asserted-by":"crossref","unstructured":"Lyndon, R., \u201cThe representation of relation algebras, II,\" <i>Annals of Mathematics<\/i>, (series 2), vol. 63 (1956), pp. 294\u2013307. Zbl 0070.24601 MR 18,106f","DOI":"10.2307\/1969611"},{"key":"17","unstructured":"Maddux, R., \u201cIntroductory course on relation algebras, finite-dimensional cylindric algebras, and their interconnections,\" pp. 361\u2013392 in\t<i>Algebraic Logic<\/i>, edited by H. Andr\u00e9ka, J. Monk, and I. N\u00e9meti, Colloqium Mathematical Society J. Bolyai, vol. 54, North-Holland, Amsterdam, 1991. Zbl 0749.03048 MR 93c:03082"},{"key":"18","unstructured":"McKenzie, R., <i>The representation of relation algebras<\/i>,\tDoctoral dissertation, University of Colorado,\tBoulder, 1966."},{"key":"19","doi-asserted-by":"crossref","unstructured":"McKenzie, R.,\t\u201cThe representation of integral relation algebras,\" <i>Michigan Mathematical Journal<\/i>, vol. 17 (1970), pp. 279\u2013287.","DOI":"10.1307\/mmj\/1029000477"},{"key":"20","unstructured":"Wostner, U., \u201cFinite relation algebras,\" <i>Notices of the American Mathematical Society<\/i>, vol. 23 (1976), p. A\u2013482."}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1305\/ndjfl\/1040408612","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:12:20Z","timestamp":1706649140000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-35\/issue-4\/Representations-for-Small-Relation-Algebras\/10.1305\/ndjfl\/1040408612.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,10,1]]},"references-count":20,"journal-issue":{"issue":"4","published-online":{"date-parts":[[1994,10,1]]}},"URL":"https:\/\/doi.org\/10.1305\/ndjfl\/1040408612","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[1994,10,1]]}}}