I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 3, PAGES 775-782
I. B. Kozhukhov
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$P$is fulfilled potentially in a semigroup $S$if $P$is fulfilled in some supersemigroup $T\supseteq S$. We find necessary and sufficient conditions for a given pair $(a,b)$of elements of $S$to belong to the right congruence generated by a given set of pairs $(a_i,b_i)$, $i\in I$, potentially. In connection to this we investigate potential solvability of the equation systems of the form $ax=b$, $ax=bx$, $ax=by$.
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Last modified: December 23, 2001