Recent content by luizgguidi

Hi Can anyone recommend a book for me to go to for an introduction of lattice theory that has exercises? I am trying to get a good grasp of differences between lattices, boolean algebra, infimum, supremum, etc Would appreciate some help Cheers

What is the difference between a boolean algebra and a complete lattice? What are their similarities?

I would say yes, but not sure because s is not paired with any member. Does that make it not a function? Definition says that every element should be. I had a different answer from a book so just want to check I understood it right. Also, what about {} ? Thanks

Textbook said!

I assumed that a function is a relation in which every element in the domain yields exactly one element.

Can anyone help me with this? Thank you very much Given set A={m,b,f,a,s} and B={m,b,s} a) Is {<m,s>, <b,m>, <f,m>, <a,b>} a function? Is it a relation or function from A to B, A to A, B to A, B to B or none of the above? b) Is { } a function? Is it a relation or function from A to B, A...

What is an empty relation? Can an empty relation be a function? Is an empty relation one with the empty set as its domain or as its range or both? THanks