{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,27]],"date-time":"2023-03-27T09:50:31Z","timestamp":1679910631297},"reference-count":47,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2020,6,23]],"date-time":"2020-06-23T00:00:00Z","timestamp":1592870400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,7,23]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, we consider a generalization of the notion of orthomodularity for posets to the concept of the generalized orthomodularity property (GO-property) by considering the $LU$-operators. This seemingly mild generalization of orthomodular posets and its order theoretical analysis yield rather strong application to effect algebras and orthomodular structures. Also, for several classes of orthoalgebras, the GO-property yields a completely order-theoretical characterization of the coherence law, and, in turn, of proper orthoalgebras.<\/jats:p>","DOI":"10.1093\/logcom\/exaa028","type":"journal-article","created":{"date-parts":[[2020,4,2]],"date-time":"2020-04-02T19:13:59Z","timestamp":1585854839000},"page":"991-1022","source":"Crossref","is-referenced-by-count":2,"title":["The generalized orthomodularity property: configurations and pastings"],"prefix":"10.1093","volume":"30","author":[{"given":"Ivan","family":"Chajda","sequence":"first","affiliation":[{"name":"Department of Algebra and Geometry, University, 17, Listopadu 12, CZ-771 46 Olomouc, Czech Republic"}]},{"given":"Davide","family":"Fazio","sequence":"first","affiliation":[{"name":"Department of Psychology, Pedagogy, Philosophy, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123 Cagliari, Italy"}]},{"given":"Antonio","family":"Ledda","sequence":"first","affiliation":[{"name":"Department of Psychology, Pedagogy, Philosophy, Universit\u00e0 di Cagliari, via Is Mirrionis 1, 09123 Cagliari, Italy"}]}],"member":"286","published-online":{"date-parts":[[2020,6,23]]},"reference":[{"key":"2020071310022974200_ref1","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-5215-7","volume-title":"Orthomodular Lattices: Algebraic Approach","author":"Beran","year":"1985"},{"key":"2020071310022974200_ref2","volume-title":"Lattice Theory","author":"Birkhoff","year":"1979"},{"key":"2020071310022974200_ref3","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1201-9_2","article-title":"Algebraic Aspects of Orthomodular Lattices","volume-title":"Current Research in Operational Quantum Logic. 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