w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES

نویسندگان
Pavuluri, Vijay Saradhi ID 1
Mothukuri, Balaiah ID 2
Rafi, Noorbasha ID 3

1 Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101.

2 Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101.

3 Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 101.

doi
10.22044/jas.2023.12898.1699
چکیده

The notion of w−filters is introduced in an Almost Distributive Lattice(ADL) and properties are investigated. A necessary and sufficient condition is derived for a maximal filter of an ADL to become a w−filter which leads to a characterization of a quasi-complemented ADL. Also, w−filters of an ADL are characterized in terms of minimal prime D−filters.

کلیدواژه‌ها
Almost Distributive Lattice(ADL), Quasi-complemented ADL, prime ideal, D−filter, w−filter