Reputation
406
Top tag
Next privilege 500 Rep.
Access review queues
Badges
3 14
Impact
~11k people reached

  • 0 posts edited
  • 0 helpful flags
  • 32 votes cast
Mar
21
asked Adding metric to matroids in order to describe graphs whose vertices are points in Euclidean space
Feb
29
accepted How to deal with Ideals generation from a Poset of sets including the empty set?
Feb
29
comment How to deal with Ideals generation from a Poset of sets including the empty set?
In your example, subset $\{\{1\}\}$ when considered generates as ideal element $\{\emptyset,\{1\}\}$ right? So ideals for all subsets in poset are not distinct, some of them are the same and for this reason I do not have $2^{|S|}$ ideals but a less number of them.
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?
added 145 characters in body
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 $I$?