This is often the English translation of Kaljulaid's 1979 Tartu/Minsk Candidate thesis, which initially used to be typewritten in Russian and synthetic in no longer such a lot of copies. The thesis was once dedicated to illustration idea within the spirit of his thesis consultant B. I. Plotkin: representations of semigroups and algebras, specifically extension to this case, and alertness of the inspiration of triangular manufactured from representations for teams brought by way of Plotkin. via illustration thought, Kaljulaid turned additionally attracted to automata idea, which at a later section turned his major niche. one other box of study issues combinatorics. along with being a very good and so much devoted mathematician Uno Kaljulaid used to be additionally greatly drawn to the heritage of arithmetic. Kaljulaid used to be additionally very drawn to the educating and exposition, or popularization of arithmetic. there's a complete sequence of papers approximately algebraic concerns, culminating in an excellent, hassle-free - even supposing in part fairly philosophical - essay dedicated to Galois concept. one other such sequence is his first-class essay of Diophantine Geometry in a number of installments, by way of his eloge to a different of his lecturers Yu. I. Manin. We think that the inclusion of those papers the following will make it extra attention-grabbing for novices, and even perhaps give a contribution to attracting adolescents to mathematics.
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