281. 0-ideals in 0-distributive posets
- Creator:
- Mokbel, Khalid A.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- 0-distributive poset, 0-ideal, α-ideal, prime ideal, semiprime ideal, and dense ideal
- Language:
- English
- Description:
- The concept of a 0-ideal in 0-distributive posets is introduced. Several properties of 0-ideals in 0-distributive posets are established. Further, the interrelationships between 0-ideals and α-ideals in 0-distributive posets are investigated. Moreover, a characterization of prime ideals to be 0-ideals in 0-distributive posets is obtained in terms of non-dense ideals. It is shown that every 0-ideal of a 0-distributive meet semilattice is semiprime. Several counterexamples are discussed.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public