{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T14:16:02Z","timestamp":1648649762892},"reference-count":10,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":4394,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2002,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In the study of categories whose morphisms display a behaviour similar to that of partial functions, the concept of morphism domain is, obviously, central. In this paper an operation defined on morphisms describes those properties which are related to morphisms being regarded as abstractions of partial functions. This operation allows us to characterise the morphism domains directly, and gives rise to an algebra defined by a simple set of identities. No product-like categorical structures are needed therefore. We also develop the construction of topologies together with the notion of continuous morphism, in order to test the effectiveness of this approach. It is interesting to see how much of the computational character of the morphisms is translated into continuity.<\/jats:p>","DOI":"10.2178\/jsl\/1190150033","type":"journal-article","created":{"date-parts":[[2007,12,13]],"date-time":"2007-12-13T19:12:10Z","timestamp":1197573130000},"page":"117-129","source":"Crossref","is-referenced-by-count":1,"title":["An algebraic approach to categories of partial morphisms"],"prefix":"10.1017","volume":"67","author":[{"given":"S. T.","family":"Stefani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200009889_ref010","volume-title":"Rapporte matematico n. 343","author":"Stefani","year":"1998"},{"key":"S0022481200009889_ref007","unstructured":"Rosolini G. , Continuity and effectiveness in topoi, Ph. d. thesis, Oxford University, Oxford, 1986."},{"key":"S0022481200009889_ref002","first-page":"1252","volume":"55","author":"Heller","year":"1990","journal-title":"An existence theorem for recursion categories"},{"key":"S0022481200009889_ref008","first-page":"261","volume-title":"Logic colloquium '88","author":"Sambin","year":"1989"},{"key":"S0022481200009889_ref006","first-page":"1023","volume":"54","author":"Montagna","year":"1989","journal-title":"Creativeness and completeness of partial recursive operators"},{"key":"S0022481200009889_ref004","unstructured":"Jonstone P. T. , Stone spaces, (1982)."},{"key":"S0022481200009889_ref009","first-page":"1251","volume":"58","author":"Stefani","year":"1993","journal-title":"A relativization mechanism in recursion categories"},{"key":"S0022481200009889_ref001","first-page":"594","volume":"52","author":"Paola","year":"1987","journal-title":"Dominical categories: Recursion theory without elements"},{"key":"S0022481200009889_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1937-1501929-X"},{"key":"S0022481200009889_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12898-5"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200009889","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T01:34:01Z","timestamp":1557192841000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200009889\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,3]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2002,3]]}},"alternative-id":["S0022481200009889"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1190150033","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,3]]}}}