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dc.contributor.advisorBlyth, T. S. (Thomas Scott)
dc.contributor.authorFang, Jie
dc.coverage.spatial109 p.en_US
dc.date.accessioned2018-06-05T10:44:12Z
dc.date.available2018-06-05T10:44:12Z
dc.date.issued1997
dc.identifier.urihttp://hdl.handle.net/10023/13720
dc.description.abstractIn the first part of this thesis we consider particular ordered sets (connected and of small height) and determine the cardinality of the corresponding dual MS - algebra and of its set of fixed points. The remainder of the thesis is devoted to a study of congruences of Ockham algebras and a generalised variety K𝜔 of Ockham algebras that contains all of the Berman varieties K[sub]p,[sub]q. In particular we consider the congruences [sub]i(i = 1, 2,...) defined on an Ockham algebra (L; f) by (x, y) āˆŠ [sub]i ⇔ fā±(x)= fā±(y) and show that (L; f) āˆŠ K𝜔 is subdirectly irreducible if and only if the lattice of congruences of L reduces to the chain 𝜔 = 𝝫ā‚€ ≤ 𝝫ā‚≤ 𝝫ā‚‚≤ … ≤𝝫𝜔<𝞲 Where 𝝫𝜔 = āŒµ [sub]i≥0𝝫i. Finally we obtain a characterisation of the finite simple Ockham algebras.en_US
dc.language.isoenen_US
dc.publisherUniversity of St Andrewsen
dc.subject.lccQA171.5O3F2
dc.subject.lcshGroup theoryen
dc.titleContributions to the theory of Ockham algebrasen_US
dc.typeThesisen_US
dc.contributor.sponsorUniversity of St Andrewsen_US
dc.contributor.sponsorCommittee of Vice-Chancellors and Principals of the Universities of the United Kingdomen_US
dc.type.qualificationlevelDoctoralen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US
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