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nike high dunk sb,for A semigroup [MATH] and its semigroup of upfamilies [MATH] the followers conditions are tantamount : [MATH] is A finite semilattice ; [MATH] is AN inverse semigroup ; the idempotents of the semigroup [MATH] commute and [MATH] is sub-clifford OR regular ; [MATH] is sub-clifford and [MATH] is commutative ; [MATH] is angstrom unit finite linear semilattice . ,”for a semigroup [MATH] and its semigroup of upfamilies [MATH] the following conditions ar tantamount : [ ( I ) ] [MATH] is angstrom unit finite semilattice ; [ ( II ) ] [MATH] is Associate in Nursing opposite semigroup ; [ ( triad ) ] the idempotents of the semigroup [MATH] commute and [MATH] is sub-clifford Beaver State regular ; [ ( quatern ) ] [MATH] is a finite linear semilattice , isomorphous to [MATH] for some [MATH] . ” ,nike high dunk sb