Finite lattice implication al-Gebras
Joint Authors
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 6, Issue 4 (31 Dec. 2013), pp.265-283, 19 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2013-12-31
Country of Publication
Jordan
No. of Pages
19
Main Subjects
Topics
Abstract EN
In this paper, by considering a finite lattice implication algebra L and A µ L, the set of all co-atoms of L, we prove that L is equal to the filter generated by A, that is L = [A).
We give a correspondence theorem between the non-trivial minimal filters and co-atoms of L.
We prove that if A = fa1 ; a2 ; ¢ ¢ ¢ ; ang, then L »= [a1) £ [a2) £ : : : £ [an).
Finally, we give a characterization of finite lattice implication algebras.
In particular, we show that there exists only one lattice implication algebra of prime order.
American Psychological Association (APA)
Borzooei, R. A.& Husayni, S. F.. 2013. Finite lattice implication al-Gebras. Jordan Journal of Mathematics and Statistics،Vol. 6, no. 4, pp.265-283.
https://search.emarefa.net/detail/BIM-349856
Modern Language Association (MLA)
Borzooei, R. A.& Husayni, S. F.. Finite lattice implication al-Gebras. Jordan Journal of Mathematics and Statistics Vol. 6, no. 4 (Dec. 2013), pp.265-283.
https://search.emarefa.net/detail/BIM-349856
American Medical Association (AMA)
Borzooei, R. A.& Husayni, S. F.. Finite lattice implication al-Gebras. Jordan Journal of Mathematics and Statistics. 2013. Vol. 6, no. 4, pp.265-283.
https://search.emarefa.net/detail/BIM-349856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 282-283
Record ID
BIM-349856