FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 775-782

I. B. Kozhukhov

Abstract

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```
A property
```$P$ 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