hi all,

i have this in my lecture notes "

An ascending filter F is non-bounded subset of algebra A in which any two elements are both exceeded (in the sense of >=) by some elements of F.

the supremumofFis the smallest element in A with a=<sup F for all a belongs to the F ."

when it says non-bonding it means my algebra A is infinite ? and also F is infinite ?

and if F is non-bounded how it is possible to have supremum ?