Detailed Information
Cited 6 time in 
Cited 14 time in 
Cited 14 time in
Metadata Downloads
Comparative and Allied UP-Filters
- Authors
- Jun, Y. B.; Iampan, A.
- Issue Date
- Jan-2019
- Publisher
- MAIK NAUKA/INTERPERIODICA/SPRINGER
- Keywords
- UP-algebra (implicative; comparative; allied) UP-filter
- Citation
- LOBACHEVSKII JOURNAL OF MATHEMATICS, v.40, no.1, pp 60 - 66
- Pages
- 7
- Indexed
- SCOPUS
ESCI
- Journal Title
- LOBACHEVSKII JOURNAL OF MATHEMATICS
- Volume
- 40
- Number
- 1
- Start Page
- 60
- End Page
- 66
- ISSN
- 1995-0802
1818-9962
- Abstract
- The notions of a comparative UP-filter and an allied UP-filter are introduced, and related properties are investigated. Relations between a UP-filter, an implicative UP-filter and a comparative UP-filter are discussed. Conditions for a UP-filter to be a comparative UP-filter are displayed. Conditions for a comparative UP-filter to be an implicative UP-filter are considered. We show that comparative UP-filters and implicative UP-filters coincide in a meet-commutative UP-algebra X satisfying the condition (for all x, y, z is an element of X) (x . (y . z) = y . (x . z)). Characterizations of a comparative UP-filter are stated. An extension property for comparative UP-filter is established. Conditions for a UP-filter to be an x-allied UP-filter for given x is an element of X are provided.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - 사범대학 > 수학교육과 > Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.