Timeline for Generalization of results from specific algebraic theories to Universal Algebra
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Feb 28, 2018 at 13:02 | answer | added | Tim Porter | timeline score: 3 | |
| Feb 11, 2018 at 18:38 | comment | added | Omer Rosler | @Pedro Sanchez Terraf Actually, these counterexamples are of interest in the sense that if we look at them as pathologies, the properties we require from a universal algebra to prevent them would lead to a more fundamental understanding of the "regularity" of the classical algebraic theories. In analogy, the generalization from the integers to number rings caused the failure of unique factorization, which leaded to the theory of ideals and Dedekindness for a unified framework. | |
| Feb 11, 2018 at 16:23 | comment | added | Pedro Sánchez Terraf | The following thread goes in the opposite direction, but I think it might be interesting to you. | |
| Feb 6, 2018 at 19:46 | comment | added | Gerhard Paseman | So it sounds like the answer is one. I recommend Graetzer, Whitehead, Birkhoff, McKenzie McNulty and Taylor, the short course by Jipsen, and some writings of Kearnes and of Willard. And this is just for introductory and overview material, not yet for indepth study. Check those out. Gerhard "And Come Back For More" Paseman, 2018.02.06. | |
| Feb 6, 2018 at 19:33 | comment | added | Omer Rosler | Google searches for introductory text all reveal text with basically the same content organized a bit differently, for example: Sankappanavar, H.P. and Burris, S., 1981. A course in universal algebra. Graduate Texts Math, 78. | |
| Feb 6, 2018 at 19:25 | comment | added | Gerhard Paseman | By the way, which introductions have you read? Gerhard "May Have You Meet Others" Paseman, 2018.02.06. | |
| Feb 6, 2018 at 17:30 | answer | added | Vladimir Dotsenko | timeline score: 3 | |
| Feb 6, 2018 at 14:56 | answer | added | Gerhard Paseman | timeline score: 4 | |
| Feb 6, 2018 at 11:39 | history | edited | YCor |
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| Feb 6, 2018 at 11:29 | history | asked | Omer Rosler | CC BY-SA 3.0 |