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https://scholarbank.nus.edu.sg/handle/10635/244333
DC Field | Value | |
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dc.title | ON PARTIALLY ORDERED SETS REPRESENTABLE OVER CLASSES OF DISTRIBUTIVE LATTICES | |
dc.contributor.author | NG TIE HUA | |
dc.date.accessioned | 2023-08-17T08:55:50Z | |
dc.date.available | 2023-08-17T08:55:50Z | |
dc.date.issued | 1975 | |
dc.identifier.citation | NG TIE HUA (1975). ON PARTIALLY ORDERED SETS REPRESENTABLE OVER CLASSES OF DISTRIBUTIVE LATTICES. ScholarBank@NUS Repository. | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/244333 | |
dc.description.abstract | In this thesis, we shall characterize those posets representable over various classes of distributive lattices. In Chapter One , we give the basic notion of lattices and some useful properties of distributive lattices. A method of construction of the finite distributive lattice, whose poset of prime ideals is a given poset, is given in Chapter Two . In Chapter Three , we study the representations of some classes of finite distributive lattices, namely, chains, boolean 'lattices, ston^ lattices and planar and distributive lattices. The representations of the class of relatively complemented distributive lattices ??he class of distri— butive lattices generated by meet-irreducible elements, the class of free distributive lattices on \x\ free generators, and finally ? he class of general distributive lattices are given in Chapter Four . | |
dc.source | SCI BATCHLOAD 20230815 | |
dc.type | Thesis | |
dc.contributor.department | MATHEMATICS | |
dc.contributor.supervisor | TAN SIE KENG | |
dc.description.degree | Bachelor's | |
dc.description.degreeconferred | BACHELOR OF SCIENCE (HONOURS) | |
Appears in Collections: | Bachelor's Theses |
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