Keywords:-
Keywords:
Boolean algebra, Almost Distributive Lattice (ADL), Almost Boolean algebra (ABA), associate elements, annihilator and maximisor
Article Content:-
Abstract
The notion of maximisor of a subset of an Almost Distributive Lattice (ADL) is introduced and certain properties of these are dis- cussed analogous to those of annihilators. Mainly, Almost Boolean algebras (ABA's) are characterized interms of their annihilators and maximisors.
References:-
References
[1] B. Venkateswarlu and R. Vasu Babu, Associate elements in ADLs,
Asian-European Journal of Mathematics., Vol. 7, No. 4(2014) 1450066
(7 pages).
[2] G. Birkhoff, Lattice Theory, Vol. 25 Amer. Math. Soc., Colluquim Pub-
lications, 1967.
[3] G. C. Rao and M. Sambasivarao, Annihilator Ideals in Almost Distributive
Lattices, International Mathematical Forum, Vol. 4 (2009), no 15,
733-746.
[4] M. H. Stone, The theory of Representations for Boolean Algebras,
Trans.Amer.Math.Soc., 40 (1936), 40-111.
[5] U. M. Swamy and G. C. Rao, Almost Distributive Lattices, J. Australian
Math. Soc., (Series A), Vol. 31 (1981), 77- 91.
[6] U. M. Swamy, Ch. Santhi Sundar Raj and R. Chudamani, On Almost
Boolean Algebras and Rings, accepted for publication in International
Journal of Mathematical Archive.
Asian-European Journal of Mathematics., Vol. 7, No. 4(2014) 1450066
(7 pages).
[2] G. Birkhoff, Lattice Theory, Vol. 25 Amer. Math. Soc., Colluquim Pub-
lications, 1967.
[3] G. C. Rao and M. Sambasivarao, Annihilator Ideals in Almost Distributive
Lattices, International Mathematical Forum, Vol. 4 (2009), no 15,
733-746.
[4] M. H. Stone, The theory of Representations for Boolean Algebras,
Trans.Amer.Math.Soc., 40 (1936), 40-111.
[5] U. M. Swamy and G. C. Rao, Almost Distributive Lattices, J. Australian
Math. Soc., (Series A), Vol. 31 (1981), 77- 91.
[6] U. M. Swamy, Ch. Santhi Sundar Raj and R. Chudamani, On Almost
Boolean Algebras and Rings, accepted for publication in International
Journal of Mathematical Archive.
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Swamy, U., Raj, C. S., & Chudamani, R. (2018). ANNIHILATORS AND MAXIMISORS IN ADL’S. International Journal Of Mathematics And Computer Research, 5(01), 1-13. https://doi.org/10.31142/ijmcr.v5i01.1