Publication details
NOTE ON DISTRIBUTIVE POSETS
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | MATHEMATICS FOR APPLICATIONS |
| MU Faculty or unit | |
| Citation | |
| Web | http://ma.fme.vutbr.cz/archiv/1_2/paseka_final.pdf |
| Field | General mathematics |
| Keywords | distributive poset; distributive ideal; Heyting algebra |
| Attached files | |
| Description | In this note we study distributive posets. We discuss several notions of distributivity in posets and show their equivalence. Moreover, the Prime Ideal Theorem for Distributive Posets is shown to be equivalent with the famous Prime Ideal Theorem for Distributive Lattices using distributive ideal approach. |