Name
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. |
Year | DOI | Venue |
|---|---|---|
2016 | https://doi.org/10.1007/s10485-016-9458-7 | Applied Categorical Structures |
Keywords | Field | DocType |
Exponentiable morphism,Taut monad,Subtractive variety,Ideal determined variety,Semimodule,18C15,18C20,08A62,16Y60 | Topology,Discrete mathematics,Semimodule,Algebraic number,Algebra,Isomorphism,Homomorphism,Mathematics,Morphism | Journal |
Volume | Issue | ISSN |
24 | 5 | 0927-2852 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maria Manuel Clementino | 1 | 61 | 25.61 |
| Dirk Hofmann | 2 | 73 | 25.09 |
| George Janelidze | 3 | 40 | 33.99 |