{"article_processing_charge":"No","abstract":[{"lang":"eng","text":"Motivated by the recent introduction of the intrinsic semilattice entropy, we study generalized quasi-metric semilattices and their categories. We investigate the relationship between these objects and generalized semivaluations, extending Nakamura and Schellekens' approach. Finally, we use this correspondence to compare the intrinsic semilattice entropy and the semigroup entropy induced in particular situations, like sets, torsion abelian groups and vector spaces."}],"article_number":"107916","isi":1,"doi":"10.1016/j.topol.2021.107916","quality_controlled":"1","volume":309,"article_type":"original","month":"03","department":[{"_id":"HeEd"}],"publication":"Topology and its Applications","date_updated":"2023-08-02T13:33:24Z","type":"journal_article","_id":"10413","status":"public","year":"2022","author":[{"last_name":"Dikranjan","first_name":"Dikran","full_name":"Dikranjan, Dikran"},{"first_name":"Anna","full_name":"Giordano Bruno, Anna","last_name":"Giordano Bruno"},{"last_name":"Künzi","first_name":"Hans Peter","full_name":"Künzi, Hans Peter"},{"orcid":"0000-0001-8686-1888","last_name":"Zava","id":"c8b3499c-7a77-11eb-b046-aa368cbbf2ad","first_name":"Nicolò","full_name":"Zava, Nicolò"},{"full_name":"Toller, Daniele","first_name":"Daniele","last_name":"Toller"}],"date_created":"2021-12-05T23:01:44Z","language":[{"iso":"eng"}],"title":"Generalized quasi-metric semilattices","intvolume":" 309","date_published":"2022-03-15T00:00:00Z","acknowledgement":"Dedicated to the memory of Hans-Peter Künzi.","external_id":{"isi":["000791838800012"]},"citation":{"apa":"Dikranjan, D., Giordano Bruno, A., Künzi, H. P., Zava, N., & Toller, D. (2022). Generalized quasi-metric semilattices. Topology and Its Applications. Elsevier. https://doi.org/10.1016/j.topol.2021.107916","ista":"Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2022. Generalized quasi-metric semilattices. Topology and its Applications. 309, 107916.","chicago":"Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava, and Daniele Toller. “Generalized Quasi-Metric Semilattices.” Topology and Its Applications. Elsevier, 2022. https://doi.org/10.1016/j.topol.2021.107916.","short":"D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology and Its Applications 309 (2022).","mla":"Dikranjan, Dikran, et al. “Generalized Quasi-Metric Semilattices.” Topology and Its Applications, vol. 309, 107916, Elsevier, 2022, doi:10.1016/j.topol.2021.107916.","ieee":"D. Dikranjan, A. Giordano Bruno, H. P. Künzi, N. Zava, and D. Toller, “Generalized quasi-metric semilattices,” Topology and its Applications, vol. 309. Elsevier, 2022.","ama":"Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. Generalized quasi-metric semilattices. Topology and its Applications. 2022;309. doi:10.1016/j.topol.2021.107916"},"publisher":"Elsevier","publication_identifier":{"issn":["0166-8641"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","scopus_import":"1","publication_status":"published","day":"15","oa_version":"None"}