1. Primeness and semiprimeness in posets
- Creator:
- Kharat, Vilas S. and Mokbel, Khalid A.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- semiprime ideal, prime ideal, meet-irreducible element, and I-atom
- Language:
- English
- Description:
- The concept of a semiprime ideal in a poset is introduced. Characterizations of semiprime ideals in a poset P as well as characterizations of a semiprime ideal to be prime in P are obtained in terms of meet-irreducible elements of the lattice of ideals of P and in terms of maximality of ideals. Also, prime ideals in a poset are characterized.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public