Отношения Грина и обобщённые отношения Грина на некоторых полугруппах преобразований (original) (raw)
Отношения Грина и обобщённые отношения Грина на некоторых полугруппах преобразований
2009
Abstract
We investigate the Greens relations L, R on the semigroups of isotone transformations of the partially ordered sets, and also the generalized Greens relations L¤, R¤ on the semigroup B(X) of binary relations on a set X. It is proved that L = L¤, R = R¤ in the semigroup B(X) though this semigroup is non-regular for |X| > 3.
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