On quasi-ideals of semirings.
Dönges, Christoph (1994)
International Journal of Mathematics and Mathematical Sciences
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Dönges, Christoph (1994)
International Journal of Mathematics and Mathematical Sciences
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Kar, S. (2005)
International Journal of Mathematics and Mathematical Sciences
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Kenneth M. Kapp (1969)
Czechoslovak Mathematical Journal
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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 -ideal to be an annihilator ideal and prime ideal to be an -ideal are given. Also it is proved that the images and the inverse images of -ideals are -ideals under annihilator preserving homomorphisms.
David Yost (1988)
Colloquium Mathematicae
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Dixit, V.N., Dewan, Sarita (1995)
International Journal of Mathematics and Mathematical Sciences
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David Elias (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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.