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Half-exact coherent functors over Dedekind domains
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering. Univ Zambia, Zambia.
2019 (English)In: Journal of Algebra and its Applications, ISSN 0219-4988, E-ISSN 1793-6829, Vol. 18, no 5, article id 1950099Article in journal (Refereed) Published
Abstract [en]

Let A be a principal ideal domain (PID) or more generally a Dedekind domain and let F be a coherent functor from the category of finitely generated A-modules to itself. We classify the half-exact coherent functors F. In particular, we show that if F is a half-exact coherent functor over a Dedekind domain A, then F is a direct sum of functors of the form Hom(A) (P,-), Hom(A) (A/p(s),-) and A/p(s) circle times -, where P is a finitely generated projective A-module, p a nonzero prime ideal in A and s amp;gt;= 1.

Place, publisher, year, edition, pages
WORLD SCIENTIFIC PUBL CO PTE LTD , 2019. Vol. 18, no 5, article id 1950099
Keywords [en]
Half-exact; coherent functors; PIDs; Dedekind domain
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:liu:diva-158347DOI: 10.1142/S0219498819500993ISI: 000469079500020OAI: oai:DiVA.org:liu-158347DiVA, id: diva2:1333847
Note

Funding Agencies|International Science Program (ISP) through Eastern Africa Universities Mathematics Program

Available from: 2019-07-02 Created: 2019-07-02 Last updated: 2019-09-20

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