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.

Readings

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsNatural Dualities for the Working AlgebraistPrescribedClark and DaveyCUP
ReadingsNatural Dualities for the Working AlgebraistPrescribedClark and DaveyCUP, 1998

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