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Half–Exact Coherent...
Half–Exact Coherent Functors over PIDs and Dedekind Domains
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- Banda, Adson (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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- Melkersson, Leif, Dr. (preses)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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- Izquierdo Barrios, Milagros, Professor (preses)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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- Skjelnes, Roy, Dr. (opponent)
- Kungliga Tekniska Högskolan, KTH, Stockholm
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(creator_code:org_t)
- ISBN 9789176857502
- Linköping : Linköping University Electronic Press, 2016
- Engelska 40 s.
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Serie: Linköping Studies in Science and Technology. Thesis, 0280-7971 ; 1752
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- The focus of this thesis is to characterize half–exact coherent functors over principal ideal domains (PIDs) and Dedekind domains. Ever since they where discovered, coherent functors have been useful in the study of some mathematical objects. We aim to explore a little more about them in this thesis.We first give here a review of the general categorical notions relevant to the characterization. We also review the functors Ext(M,−) and Tor(M,−) on the category on A–modules, where A is a commutative ring and M is an A–module.With the assumption that A is a commutative noetherian ring, we introduce coherent functors defined on the category of finitely generated A–modules. It is then shown in the paper that any half–exact coherent functor over a PID, and more generally over a Dedekind domain, arises from a complex of projective modules.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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