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Abstrakty
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.
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
119-128
Opis fizyczny
Daty
wydano
2015
otrzymano
2013-12-19
Twórcy
autor
- Department of Mathematics, Bapatla Engineering College Bapatla, Andhra Pradesh, India
autor
- Department of Engineering Mathematics, GITAM University Hyderabad Campus, India
autor
- Department of Mathematics, Andhra University Visakhapatnam, Andhra Pradesh, India
Bibliografia
- [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
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1240