FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 1, PAGES 179-194
V. V. Nekljudova
Abstract
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This paper considers the relations between the Morita-equivalence of two
monoids on the one hand and the equivalence of the categories of fuzzy
acts over
these two monoids on the other hand. The main result of this work is that
two monoids A and B are equivalent in the sense of Morita if and only if
their
categories of fuzzy-acts are equivalent.
Moreover, the functors of these two equivalences are naturally related
to each other.
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