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Feb
29
comment How to deal with Ideals generation from a Poset of sets including the empty set?
Ah, ok some of ideals are equal... is it correct???
Feb
29
revised How to deal with Ideals generation from a Poset of sets including the empty set?
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Feb
29
awarded  Critic
Feb
29
comment How to deal with Ideals generation from a Poset of sets including the empty set?
OK, wait a moment Brian, sorry for disturbing again, but actually I cannot understand how you are building the lattice. Shouldn`t I consider all possible subsets in $S$?
Feb
29
comment How to deal with Ideals generation from a Poset of sets including the empty set?
Yes, thanks Patrick. Ah Patrick could you please tell me what you think about the two definitions I found of Ideal? In the linked question there is also a community wiki I started about this little debate of before, remember? What do you think about the two definitions?
Feb
29
revised How to deal with Ideals generation from a Poset of sets including the empty set?
added 624 characters in body
Feb
29
comment How to deal with Ideals generation from a Poset of sets including the empty set?
In the link to the question.... there you will find the definition. OK, I will write the definition also here... wait a min, sorry
Feb
29
asked How to deal with Ideals generation from a Poset of sets including the empty set?
Feb
27
revised Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
added 26 characters in body
Feb
27
answered Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
Feb
27
comment Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
Thankyou very much for your answer Brian, it helped me but azarel`s one was a little more explicit for the construction of the set using an inductive cardinal oriented approach.
Feb
27
accepted Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
Feb
27
comment Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
I see, but its kinda strange. I admit that these books are quite old, some of them preceding 1990... maybe conventions about ideals changed in time... thanks Brian, Ill investigate more about this.
Feb
27
comment Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
OK think I got it... quite long procedure... Thanks a lot azarel, I will read better and try to understand it fully.
Feb
27
revised Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
added 881 characters in body
Feb
27
revised Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
added 674 characters in body
Feb
27
comment Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
But to build the set of all ideals, what should I do? The relation is the following: $I \subseteq S$ is Ideal if $t \ in I, s \leq t \implies s \in I$. The condition $s \leq t$ is not $s \subseteq t$. So I should not take necessarly all subsets in $t$, but should look in $S$ for all those $s$ being $\leq t$ and include those in set $I$?
Feb
27
revised Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
added 137 characters in body
Feb
27
comment Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
@azarel: please see changes
Feb
27
revised Getting a Distributive-Lattice from Poset or, equivalently, a Greedoid from a Poset
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