Displaying similar documents to “On some problems of G. Gratzer and E. T. Schmidt”

α -ideals and annihilator ideals in 0-distributive lattices

Y. S. Pawar, S. S. Khopade (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In a 0-distributive lattice sufficient conditions for an α -ideal to be an annihilator ideal and prime ideal to be an α -ideal are given. Also it is proved that the images and the inverse images of α -ideals are α -ideals under annihilator preserving homomorphisms.

On k -ideals of semirings.

Sen, M.K., Adhikari, M.R. (1992)

International Journal of Mathematics and Mathematical Sciences

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Some types of implicative ideals

Ladislav Beran (1998)

Commentationes Mathematicae Universitatis Carolinae

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This paper studies basic properties for five special types of implicative ideals (modular, pentagonal, even, rectangular and medial). The results are used to prove characterizations of modularity and distributivity.