• SPECIAL CLASSES OF IDEALS AND FILTERS OF PSEUDO-COMPLEMENTED ALMOST DISTRIBUTIVE LATTICES

CH. SANTHI SUNDAR RAJ, M. SANTHI*, K. RAMANUJA RAO

Abstract


In this paper we introduce the concepts of αideal and βfilter of a weakly pseudo-complemented ADL in general and of a pseudo- complemented ADL in particular and discuss certain properties of these. Mainly, we prove that the sets of αideals and βfilters of a pseudo-complemented ADL form algebraic lattices. Also, we characterize Stone ADLs and Almost Boolean algebras in terms of αideals and βfilters.


Keywords


Almost Distributive Lattice(ADL); weak pseudo-complementation; pseudo-complementation; α−ideal; β−filter; minimal prime ideal; Almost Boolean algebra.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter
https://journals.uol.edu.pk/sugar-rush/http://mysimpeg.gowakab.go.id/mysimpeg/aset/https://jurnal.jsa.ikippgriptk.ac.id/plugins/https://ppid.cimahikota.go.id/assets/demo/https://journals.zetech.ac.ke/scatter-hitam/https://silasa.sarolangunkab.go.id/swal/https://sipirus.sukabumikab.go.id/storage/uploads/-/sthai/https://sipirus.sukabumikab.go.id/storage/uploads/-/stoto/https://alwasilahlilhasanah.ac.id/starlight-princess-1000/https://www.remap.ugto.mx/pages/slot-luar-negeri-winrate-tertinggi/https://waper.serdangbedagaikab.go.id/storage/sgacor/https://waper.serdangbedagaikab.go.id/public/images/qrcode/slot-dana/https://siipbang.katingankab.go.id/storage_old/maxwin/https://waper.serdangbedagaikab.go.id/public/img/cover/10k/https://waper.serdangbedagaikab.go.id/storage/app/https://waper.serdangbedagaikab.go.id/storage/idn/