1. Congruence kernels of distributive PJP-semilattices
- Creator:
- Begum, S. N. and Noor, Abu Saleh Abdun
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- semilattice, distributivity, pseudocomplementation, congruence, kernel ideal, and cokernel
- Language:
- English
- Description:
- A meet semilattice with a partial join operation satisfying certain axioms is a JP-semilattice. A PJP-semilattice is a pseudocomplemented JP-semilattice. In this paper we describe the smallest PJP-congruence containing a kernel ideal as a class. Also we describe the largest PJP-congruence containing a filter as a class. Then we give several characterizations of congruence kernels and cokernels for distributive PJP-semilattices.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public