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http://dx.doi.org/10.14317/jami.2016.001

FILTERS OF BE-ALGEBRAS WITH RESPECT TO A CONGRUENCE  

RAO, M. SAMBASIVA (Department of Mathematics, MVGR College of Engineering)
Publication Information
Journal of applied mathematics & informatics / v.34, no.1_2, 2016 , pp. 1-7 More about this Journal
Abstract
Some properties of filters are studied with respect to a congru-ence of BE-algebras. The notion of θ-filters is introduced and these classes of filters are then characterized in terms of congruence classes. A bijection is obtained between the set of all θ-filters of a BE-algebra and the set of all filters of the respective BE-algebra of congruences classes.
Keywords
BE-algebra; congruence; closure operator; θ-filter;
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Times Cited By KSCI : 5  (Citation Analysis)
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1 Y.H. Kim, On medial B-algebras, J. Appl. Math. & Informatics, 32 (2014), 849-856.   DOI
2 S.S. Ahn, Y.H. Kim and J.M. Ko, Filters in commutative BE-algebras, Commun. Korean. Math. Soc., 27 (2012), 233-242.   DOI
3 S.S. Ahn and Y.H. So, On ideals and upper sets in BE-algebras, Sci. Math. Jpn., 68 (2008), 279-285.
4 S.S. Ahn and K.S. So, On generalized upper sets in BE-algebras, Bull. Korean Math. Soc., 46 (2009), 281-287.   DOI
5 K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon., 23 (1979), 1-26.
6 H.S. Kim and Y.H. Kim, On BE-algebras, Sci. Math. Jpn., 66 (2007), 113-116.
7 J.H. Park and Y.H. Kim, Int-soft positive implicative filters in BE-algebras, J. Appl. Math. & Informatics, 33 (2015), 459-467.   DOI
8 M. Sambasiva Rao, Multipliers and normal filters of BE-algebras, J. Adv. Res. Pure Math., 4 (2012), 61-67.   DOI
9 K.S. So and Y.H. Kim, Mirror d-algebras, J. Appl. Math. & Informatics, 31 (2013), 559-564.   DOI
10 A. Walendziak, On normal filters and congruence relations in B-algebras, Commenta-tiones Mathematicae, 52 (2012), 199-205.