Timeline for First isomorphism theorem for inverse semigroups together with v-prehomomorphisms?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jul 21, 2021 at 21:07 | comment | added | Benjamin Steinberg | I'm not sure the comment is really an answer but the book will tell you a lot about prehomomorphisms. | |
| Jul 21, 2021 at 21:01 | comment | added | Bumblebee | @BenjaminSteinberg: I didn't know any reference to prehomomorphisms other than the linked paper. Thank you for mentioning Lawson's book. I will look at it. Also, if you like to turn your comment into an answer, I am happy to accept it. | |
| Jul 21, 2021 at 19:02 | comment | added | Benjamin Steinberg | According to Mark Lawson's book prehomomorphisms correspond to morphisms of ordered groupoids. This is a more complicated setting and so you can't I think hope to formulate such a nice theorem unless the prehomomorphism is injective on idempotents. Ordered groupoids are essentially etale groupoids where you give posets the alexandrov topology and the morphisms are continuous functors. You might be ok of the prehomomorphism is an open map or a local homeomorphism which means surjective (resp bijective) on principal lower sets | |
| Jul 21, 2021 at 15:16 | history | asked | Bumblebee | CC BY-SA 4.0 |