FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 3, PAGES 775-782
On potential properties of a semigroup connected with generation
of one-sided congruences
I. B. Kozhukhov
Abstract
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A property is fulfilled potentially
in a semigroup if is fulfilled in some
supersemigroup .
We find necessary and sufficient conditions for a given pair
of
elements of to belong to
the right congruence generated by a given set of pairs
i,bi),
, potentially.
In connection to this we investigate potential solvability of
the equation systems of the form , , .
All articles are
published in Russian.
Location: http://mech.math.msu.su/~fpm/eng/k01/k013/k01311h.htm
Last modified: December 23, 2001