mat4dt duality theory
DUALITY THEORY
MAT4DT
Not currently offered
Credit points: 15
Subject outline
The unit will begin with a primer on category theory, general algebra and topology. The aim will be to emphasize the algebra and use, but down-play, the category theory and topology. We shall cover the general theory of dualities (between classes of algebras and classes of topological relational structures). The theory will be applied to prove the classical dualities for Abelian groups and Boolean algebras, the neo-classical duality for distributive lattices and a host of other less familiar dualities as well. Applications of duality theory will also be presented.
SchoolSchool Engineering&Mathematical Sciences
Credit points15
Subject Co-ordinatorBrian Davey
Available to Study Abroad StudentsYes
Subject year levelYear Level 4 - UG/Hons/1st Yr PG
Exchange StudentsYes
Subject particulars
Subject rules
Prerequisites MAT3DS and MAT3TA and requires co-ordinators approval
Co-requisitesN/A
Incompatible subjectsN/A
Equivalent subjectsN/A
Special conditions Offered subject to sufficient enrolments.
Learning resources
Readings
| Resource Type | Title | Resource Requirement | Author and Year | Publisher |
|---|---|---|---|---|
| Readings | Natural Dualities for the Working Algebraist | Prescribed | Clark and Davey | CUP |
| Readings | Natural Dualities for the Working Algebraist | Prescribed | Clark and Davey | CUP, 1998 |
Subject options
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