David Stanovský
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25.2.  Motivation, examples. Translations, division and inverses. 
notes: 1 2 3+5 4 
4.3.  Semigroups: basic facts, Green's theory. 
notes: 1 2 3 4 5 6 7 
11.3.  Semigroups: regularity, intro to inverse semigroups. 
notes 
18.3.  Inverse semigroups: VagnerPreston theorem, congruences. 
notes 
25.3.  Inverse semigroups: Lallement's lemma. Completely regular semigroups: an overview. Mediality: an introduction. 
notes: 17A 17B 22 23 24 25 
1.4.  Linearization problem. Principal isotopy, Toyoda's theorem. 
notes on principal isotopy: 1 2 3
notes on mediality: 1 2 3
4 5 6 7 
15.4.  Quandles: coloring knots, the structure of algebraically connected quandles. 

22.4. and on  Aleš Drápal talks 
HOMEWORKS  final version.
I suggest you work all the exercices. To pass my part of the course, you need to completely solve at least half of the exercises marked [!], i.e., nine.
Should you have any questions about the exercises, write me an email. In particular, if you find a wrong exercise, unclear or invalid statement, etc., please let me know.
Literature:
 John Howie: Fundamentals of Semigroup Theory (we loosely follow this book), or any other textbook on semigroups.
 A brief overview of nonassociative algebra (even more motivation)
 Hala Pflugfelder: Quasigroups and loops: introduction for more details on quasigroups (medial in particular)
 a text on quandle coloring  not really good for the purposes of this lecture, but still the best I could find
(let me know if you want to read more on knots, I can recommend some texts depending on your preferences)
