Timeline for What are algebraic systems and algebraic closure as defined by Kenjiro Shoda? Which are his main results on them?
Current License: CC BY-SA 3.0
11 events
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| May 14, 2020 at 10:10 | history | edited | YCor |
edited tags
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| Oct 24, 2017 at 19:08 | answer | added | Gerhard Paseman | timeline score: 1 | |
| Oct 24, 2017 at 19:06 | comment | added | Gerhard Paseman | I have read some of it. I do not have a simple answer, because there are some subtleties I am not grasping. I found I.5 helpful, as he is using these special terms as binary operations. The meromorphism between equivalence class algebras seems new to me, as it is not quite isomorphism of quotients. A lot of it is familiar though, and I hope to post on I ,II, and IV, and then see if I myself can answer your questions. Gerhard "Thank You For The Reminder" Paseman, 2017.10.24. | |
| Oct 24, 2017 at 18:05 | comment | added | Jose Brox | Dear @GerhardPaseman, did you finally put your eyes on this? I don't want to put pressure on you, just to know that (/if) it wasn't forgotten! | |
| Oct 9, 2017 at 23:46 | history | edited | Martin Sleziak |
Removed deprecated (abstract-algebra) tag - see the tag info: https://mathoverflow.net/tags/abstract-algebra/info (if there are some other suitable tags, choose them instead.)
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| Oct 9, 2017 at 22:50 | comment | added | Jose Brox | @GerhardPaseman That sounds great! It is really difficult to choose without understanding anything, but: 1) Paper I: two first paragraphs of section 1 (definition of system), two first paragraphs of section 2 (definition of primitive system and the following proposition), first paragraph of section 3 (definition of free system). 2) Paper II: Section 8. 3) Paper "Zur theorie..." section 1 (definition of algebraic and formulation of propositions), theorem about the algebraic closure cited by Lambek (don't know which one, should be like injective extension), theorems on section 2 (polynomials) | |
| Oct 9, 2017 at 21:23 | comment | added | Gerhard Paseman | I will look over a few of them, and see about answering your questions. In the spirit of efficiency, please indicate some passages which you think may hold the most light, and I will prioritize those and give my translation of them (with no guarantee) to the best of my ability . Gerhard "Best Given Time And Energy" Paseman, 2017.10.09. | |
| Oct 9, 2017 at 20:46 | comment | added | Jose Brox | @GerhardPaseman Sure! I just added the links (all of them have free access). Please, if you finally translate something, do it as a formal answer! | |
| Oct 9, 2017 at 20:45 | history | edited | Jose Brox | CC BY-SA 3.0 |
Adding more links to references on request
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| Oct 9, 2017 at 19:44 | comment | added | Gerhard Paseman | It would help to have the earlier definitions. My knowledge of German is poor compared to many other members of this forum. However, on first glance the vibe I get is that it is universal algebraic in character, with the notion of algebraically independent elements added as extensions. If you provide the links to the background papers, I can firm up this guess and translate a few of the rough bits for you. Gerhard "Understands Universal Algebra In English" Paseman, 2017.10.09. | |
| Oct 9, 2017 at 19:22 | history | asked | Jose Brox | CC BY-SA 3.0 |