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PRIME FILTERS OF COMMUTATIVE BE-ALGEBRAS
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 Title & Authors
PRIME FILTERS OF COMMUTATIVE BE-ALGEBRAS
RAO, M. SAMBASIVA;
 
 Abstract
Properties of prime filters are studied in BE-algebras as well as in commutative BE-algebras. An equivalent condition is derived for a BE-algebra to become a totally ordered set. A condition L is introduced in a commutative BE-algebra in ordered to study some more properties of prime filters in commutative BE-algebras. A set of equivalent conditions is derived for a commutative BE-algebra to become a chain. Some topological properties of the space of all prime filters of BE-algebras are studied.
 Keywords
BE-algebra;prime flter;maximal flter;totally ordered set;T1-space;
 Language
English
 Cited by
 References
1.
S.S. Ahn, Y.H. Kim and J.M. Ko, Filters in commutative BE-algebras, Commun. Korean. Math. Soc. 27 (2012), 233-242. crossref(new window)

2.
S.S. Ahn and K.K. So, On ideals and upper sets in BE-algebras, Sci. Math. Jpn. 68 (2008), 279-285.

3.
S.S. Ahn and K.K. So, On generalized upper sets in BE-algebras, Bull. Korean Math. Soc. 46 (2009), 281-287. crossref(new window)

4.
K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon. 23 (1979), 1-26.

5.
H.S. Kim and Y.H. Kim, On BE-algebras, Sci. Math. Jpn. 66 (2007), 113-116.

6.
J.H. Park and Y.H. Kim, Int-soft positive implicative filters in BE-algebras, J. Appl. Math. & Informatics 33 (2015), 459-467. crossref(new window)

7.
M. Sambasiva Rao, Multipliers and normal filters of BE-algebras, J. Adv. Res. Pure Math. 4 (2012), 61-67. crossref(new window)

8.
A. Walendziak, On commutatative BE-algebras, Sci. Math. Jpn. 69 (2009), 281-284.