{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:26:23Z","timestamp":1777645583420,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2016,12,24]],"date-time":"2016-12-24T00:00:00Z","timestamp":1482537600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2016,12,24]]},"abstract":"<jats:p>In Universal Algebra the structure of congruences for algebraic systems is fairly well investigated, and the relationship to the structure of the underlying system proper is well known. We propose a first step into this direction for studying the structure of congruences for stochastic relations. A Galois connection to a certain class of Boolean \u03c3-algebras is exploited, atoms and antiatoms are identified, and it is show that a \u03c3-basis exists. These constructions are applied to the problem of finding bisimulation cuts of a congruence. It cuts the relation through a span of morphisms with a minimum of joint events.<\/jats:p>","DOI":"10.3233\/fi-2016-1452","type":"journal-article","created":{"date-parts":[[2016,12,27]],"date-time":"2016-12-27T10:59:44Z","timestamp":1482836384000},"page":"363-383","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Bisimulation Cuts For Structuring Markov Transition Systems"],"prefix":"10.1177","volume":"149","author":[{"given":"Ernst-Erich","family":"Doberkat","sequence":"first","affiliation":[{"name":"Math++Software, Bochum, Germany."}]}],"member":"179","published-online":{"date-parts":[[2016,12,24]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1452","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1452","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:39Z","timestamp":1777444359000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2016-1452"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,24]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,12,24]]}},"alternative-id":["10.3233\/FI-2016-1452"],"URL":"https:\/\/doi.org\/10.3233\/fi-2016-1452","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,24]]}}}