Boolean filters in pseudo-complemented almost distributive lattices

• Autorzy: N. Rafi , Ravi Kumar Bandaru , G.C. Rao
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Almost Distributive Lattice (ADL); pseudo-complemented ADL; Boolean filter; maximal filter; congruence; Boolean algebra

Kategorie tematyczne

• 06D99: None of the above, but in this section
• 06D15: Pseudocomplemented lattices

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2015
• Tom: 35
• Numer: 2
• Strony: 119-128

Daty

wydano

2015

otrzymano

2013-12-19

Twórcy

autor

N. Rafi

• Department of Mathematics, Bapatla Engineering College Bapatla, Andhra Pradesh, India

autor

Ravi Kumar Bandaru

• Department of Engineering Mathematics, GITAM University Hyderabad Campus, India

autor

G.C. Rao

• 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

Identyfikatory

DOI

10.7151/dmgaa.1240