Filter theory in MTL-algebras based on Uni-soft property

Author(s):

G. Muhiuddin * , A.M. Al-Roqi , S. Aldhafeeri

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
ýThe notion of (Boolean) uni-soft filtersý ýin MTL-algebras is introducedý, ýand several properties of them areý ýinvestigatedý. ýCharacterizations of (Boolean) uni-soft filters are discussedý, ýand some (necessary and sufficient) conditionsý ýfor a uni-soft filter to be Boolean are providedý.
ýThe condensational property for a Boolean uni-soft filter is established.
Keywords:

MTL , algebras? , ?(Boolean) filter? , ?(Boolean) uni , soft filter?

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:43 Issue: 7, 2017
Pages:
2293 to 2306
https://www.magiran.com/p1850904