Displaying similar documents to “Strong quasi k-ideals and the lattice decompositions of semirings with semilattice additive reduct”

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 Quasi-Normality of Two-Sided Multiplication

Amouch, M. (2009)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 47B47, 47B10, 47A30. In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.