Geodesic
Boolean filters in pseudo-complemented almost distributive lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 2, pp. 119-128.

Voir la notice de l'article provenant de la source Library of Science

In this paper we have introduced the concept of Boolean filters in a pseudo-complemented Almost Distributive Lattice (pseudo-complemented ADL) and studied their properties. Finally, a Boolean filter is characterized in terms of filter congruences.
Keywords: Almost Distributive Lattice (ADL), pseudo-complemented ADL, Boolean filter, maximal filter, congruence, Boolean algebra 
@article{DMGAA_2015_35_2_a0,
     author = {Rafi, N. and Bandaru, Ravi and Rao, G.},
     title = {Boolean filters in pseudo-complemented almost distributive lattices},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {119--128},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2015_35_2_a0/}
}
TY  - JOUR
AU  - Rafi, N.
AU  - Bandaru, Ravi
AU  - Rao, G.
TI  - Boolean filters in pseudo-complemented almost distributive lattices
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2015
SP  - 119
EP  - 128
VL  - 35
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2015_35_2_a0/
LA  - en
ID  - DMGAA_2015_35_2_a0
ER  - 
%0 Journal Article
%A Rafi, N.
%A Bandaru, Ravi
%A Rao, G.
%T Boolean filters in pseudo-complemented almost distributive lattices
%J Discussiones Mathematicae. General Algebra and Applications
%D 2015
%P 119-128
%V 35
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2015_35_2_a0/
%G en
%F DMGAA_2015_35_2_a0
Rafi, N.; Bandaru, Ravi; Rao, G. Boolean filters in pseudo-complemented almost distributive lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 2, pp. 119-128. http://geodesic.mathdoc.fr/item/DMGAA_2015_35_2_a0/

[1] G. Birkhoff, Lattice Theory (Amer. Math. Soc. Colloq. Publ. XXV, Providence, 1967), USA.

[2] G. Gratzer, General Lattice Theory (Academic Press, New York, San Fransisco, 1978).

[3] G.C. Rao, Almost Distributive Lattices (Doctoral Thesis, 1980), Department of Mathematics, Andhra University, Visakhapatnam.

[4] M. Sambasiva Rao and K.P. Shum, Boolean filters of distributive lattices, International Journal of Mathematics and Soft Computing 3 (3) (2013), 41-48.

[5] U.M. Swamy and G.C. Rao, Almost distributive lattices, J. Aust. Math. Soc. (Series A) 31 (1981), 77-91. doi: 10.1017/s1446788700018498

[6] U.M. Swamy, G.C. Rao and G. Nanaji Rao, Pseudo-complementation on almost distributive lattices, Southeast Asian Bullettin of Mathematics 24 (2000), 95-104. doi: 10.1007/s10012-000-0095-5