In mathematics, an Ockham algebra is a bounded distributive lattice with a dual endomorphism, that is, an operation satisfying
- ,
- ,
- ,
- .
They were introduced by Berman (1977), and were named after William of Ockham by Urquhart (1979). Ockham algebras form a variety.
Examples of Ockham algebras include Boolean algebras, De Morgan algebras, Kleene algebras, and Stone algebras.
References
edit- Berman, Joel (1977), "Distributive lattices with an additional unary operation", Aequationes Mathematicae, 16 (1): 165–171, doi:10.1007/BF01837887, ISSN 0001-9054, MR 0480238 (pdf available from GDZ)
- Blyth, Thomas Scott (2001) [1994], "Ockham algebra", Encyclopedia of Mathematics, EMS Press
- Blyth, Thomas Scott; Varlet, J. C. (1994). Ockham algebras. Oxford University Press. ISBN 978-0-19-859938-8.
- Urquhart, Alasdair (1979), "Distributive lattices with a dual homomorphic operation", Polska Akademia Nauk. Institut Filozofii i Socijologii. Studia Logica, 38 (2): 201–209, doi:10.1007/BF00370442, hdl:10338.dmlcz/102014, ISSN 0039-3215, MR 0544616
🔥 Top keywords: Akademia e Shkencave e RPS te ShqiperiseAlexandria Ocasio-CortezBilderberg GroupCristiano RonaldoDong XiaowanMinecraftOperation GladioPrimal cutRiot FestStrictly Come Dancing (series 7)Main PageSpecial:SearchKevin Campbell (footballer)Wikipedia:Featured picturesClash at the Castle: ScotlandUEFA Euro 2024Matija SarkicInside Out 2Lamine YamalBridgertonCleopatra2024 ICC Men's T20 World CupUEFA European ChampionshipBTSDeaths in 2024.xxxGiorgia MeloniUEFA Euro 2020The Boys (TV series)Jamal MusialaAngela BofillÁlvaro MorataKwadwo DuahThe Boys season 4AlbaniaYouTubeBryson DeChambeauNicola CoughlanHit Man (2023 film)Glossary of basketball termsTrooping the ColourNico WilliamsMartin ÁdámChatGPTPawan KalyanG7Spain national football teamAlbania national football teamDeath of Kevin Gately