Normal MP-Filters of R0-Algebras
The aim of this paper is to introduce the notion of normal MP-filters and investigate the structure of R 0-algebras. The relations between normal MP-filters and MP-filters, and between normal MP-filters and filters are discussed. The extension property of normal MP-filters is established. The characteristic properties of normal MP-filters are obtained. Finally, normal R 0-algebras are completely characterized via the normal MP-filters.
KeywordsR0-algebra (NM-algebra) normal R0-algebra normal MP-filter
Unable to display preview. Download preview PDF.
- 5.Georgescu, G., Iorgulescu, A.: Pseudo-BL algebras: A noncommutative extension of BL algebras. In: Abstracts of The Fifth International Conference FSTA 2000, Slovakia (2000)Google Scholar
- 8.Liu, Y.L., Liu, S.Y.: Normal R 0-algebras. Advances in Systems Science and Applications 4, 665–669 (2004)Google Scholar
- 15.Wang, G.J.: Non-classical Mathematical Logic and Approximate Reasoning. Science Press, Beijing (2000)Google Scholar