Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16470
Title: | On exponentiable morphisms in classical algebra |
Author: | Clementino, Maria Manuel Hofmann, Dirk Janelidze, George |
Keywords: | Exponentiable morphism Taut monad Subtractive variety Ideal determined variety Semimodule |
Issue Date: | Oct-2016 |
Publisher: | Springer Verlag |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16470 |
DOI: | 10.1007/s10485-016-9458-7 |
ISSN: | 0927-2852 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
CHJ16_On_Exponentiable_Morphisms_in_Classical_Algebra.pdf | Main article | 605.77 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.