α -ideals in a 0-distributive lattice

R. M. Hafizur Rahman
2019 JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES  
In this paper we have studied the  -ideals in a 0-distributive lattice. We have described the  -ideals by two definition and proved that these are equivalent. We have given several characterizations. They have proved that a lattice L is disjunctive if and only if each ideal is an  -ideals. We have also included a prime separation theorem for  -ideals. At the end we have studied the  -ideals in a sectionally quasi-complemented lattice.
doi:10.26782/jmcms.2019.08.00006 fatcat:wxinbfutfbc7roda5eyupdzs3y