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http://hdl.handle.net/10773/16470
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Clementino, Maria Manuel | pt |
dc.contributor.author | Hofmann, Dirk | pt |
dc.contributor.author | Janelidze, George | pt |
dc.date.accessioned | 2016-12-12T12:33:24Z | - |
dc.date.issued | 2016-10 | - |
dc.identifier.issn | 0927-2852 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/16470 | - |
dc.description.abstract | We study exponentiability of homomorphisms in varieties of universal algebras close to classical ones. After describing an “almost folklore” general result, we present a purely algebraic proof of “étale implies exponentiable”, alternative to the topologically motivated proof given in one of our previous papers, in a different context. We prove that only isomorphisms are exponentiable homomorphisms in ideal determined varieties and extend this to ideal determined categories. Finally, we give a complete characterization of exponentiable homomorphisms of semimodules over semirings. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer Verlag | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147205/PT | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt |
dc.relation | South African NRF | pt |
dc.relation | SRNSF - DI/18/5-113/13 | pt |
dc.rights | restrictedAccess | por |
dc.subject | Exponentiable morphism | pt |
dc.subject | Taut monad | pt |
dc.subject | Subtractive variety | pt |
dc.subject | Ideal determined variety | pt |
dc.subject | Semimodule | pt |
dc.title | On exponentiable morphisms in classical algebra | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 733 | pt |
degois.publication.issue | 5 | pt |
degois.publication.lastPage | 742 | pt |
degois.publication.title | Applied Categorical Structures | pt |
degois.publication.volume | 24 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1007/s10485-016-9458-7 | pt |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CHJ16_On_Exponentiable_Morphisms_in_Classical_Algebra.pdf | Main article | 605.77 kB | Adobe PDF |
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