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General affine adjunctions, Nullstellens...

Caramello, Olivia...

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General affine adjunctions, Nullstellens\"atze, and dualities by Caramello, Olivia ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We introduce and investigate a category-theoretic abstraction of the standard "system-solution" adjunction in affine algebraic geometry. We then look further into these geometric adjunctions at different levels of generality, from syntactic categories to (possibly infinitary) equational classes of algebras. In doing so, we discuss the relationships between the dualities induced by our framework and the well-established theory of concrete dual adjunctions. In the context of general algebra we prove an analogue of Hilbert's Nullstellensatz, thereby achieving a complete characterisation of the fixed points on the algebraic side of the adjunction.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1412.8692

Citation

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AMA 11th EditionReferences

Caramello, Olivia. General affine adjunctions, Nullstellens\"atze, and dualities. Australian National University. September 06, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24146

APA 7th EditionReferences

Caramello, Olivia. (2023). General affine adjunctions, Nullstellens\"atze, and dualities. Australian National University. https://online.provdatabase.com/cite/24146

Chicago 17th EditionReferences

Caramello, Olivia. General affine adjunctions, Nullstellens\"atze, and dualities. Australian National University. 2023. https://online.provdatabase.com/cite/24146

HarvardReferences

Caramello, Olivia. (2023). General affine adjunctions, Nullstellens\"atze, and dualities. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24146. (Accessed 01 November 2024).

Harvard AustraliaReferences

Caramello, Olivia, 2023, General affine adjunctions, Nullstellens\"atze, and dualities, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24146>

MLA 9th EditionWorks Cited

Caramello, Olivia. General affine adjunctions, Nullstellens\"atze, and dualities. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24146.

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