Core of almost distributive lattice
*Mona TarekCorresponding authorMona.Saad@sci.asu.edu.egDepartment of Mathematics Faculty of Science Ain Shams UniversityCairo, 11566, Egypt0000-0002-0838-2563View full profile → , M. A. M. Sharafm.ameen@sci.asu.edu.egDepartment of Mathematics Faculty of Science Ain Shams UniversityCairo, EgyptView full profile → , M. A. SeoudM.Seoud@sci.asu.edu.egDepartment of Mathematics Faculty of Science Ain Shams UniversityCairo, 11566, EgyptView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Jan 2025
- Published Online:
- 31 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2409
- Pages:
- 1727–1734
Abstract
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References
[1] G. Birkhoff, ‘’Lattice theory,’’ Amer. Math. Soc. (1940).
[2] T.S. Blyth, and J. Varlet, ‘’Ockham Algebras,’’ Oxford University Press, London (1940).
[3] A. Gaber, M.A. Seoud, and M. Tarek, ‘’Extended filters of MS-algebras, ‘’ Malays. J. Math. Sci., vol. 17, no. 3, pp.459-472 (2023).
[4] A.Gaber, M.A. Seoud, and M. Tarek, ‘’Fuzzy Extended Filters of MS-Algebras,’’ J. Discrete Math. Sci. Cryptogr., vol. 28, no. 1, pp.87-100 (2025).
[5] G.A.Grätzer, ‘’Lattice theory: foundation,’’ Birkhäuser, Basel (2011).
[6] J.G. Lee, ‘’Almost distributive lattice varieties,’’ algebra unversalis, vol. 21, pp.280-304 (1985).
[7] H.A. Priestley, ‘’Representation of distributive lattices by means of ordered stone spaces,’’ Bull. Lond. Math. Soc., vol. 2, no. 2, pp.186-190 (1970).
[8] G.C. Rao, B. Assaya, and R. Prasad, ‘’L-almost distributive lattices, ‘’ Asian-Eur. J. Math., vol. 4, no. 1, pp.171-178 (2011).
[9] G.C. Rao, and M.S. Rao, ‘’Annulets in almost distributive lattices,’’ Eur. J.Pure Appl. Math., vol. 2, no. 1, pp.58-72 (2009).
[10] U.M. Swamy, and S. Ramesh, ‘’Birkhoff centre of an almost distributive lattice,’’ International Journal of Algebra, vol. 3, no. 11, pp.539-546 (2009).
[11] U.M. Swamy, and G.C. Rao, ‘’Almost distributive lattices,’’ J.Aust. Math. soc, vol. 31, no. 1, pp.77-91 (1981).
