On prime ideals of
Attilio Le Donne (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Attilio Le Donne (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Giuliano Artico, Umberto Marconi, Roberto Moresco (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Hashemi, E. (2008)
International Journal of Mathematics and Mathematical Sciences
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E. W. Johnson (1986)
Czechoslovak Mathematical Journal
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Henriksen, Melvin (1977)
Portugaliae mathematica
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Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
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Giuliano Artico, Umberto Marconi (1976)
Rendiconti del Seminario Matematico della Università di Padova
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Vilas S. Kharat, Khalid A. Mokbel (2009)
Mathematica Bohemica
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The concept of a semiprime ideal in a poset is introduced. Characterizations of semiprime ideals in a poset as well as characterizations of a semiprime ideal to be prime in are obtained in terms of meet-irreducible elements of the lattice of ideals of and in terms of maximality of ideals. Also, prime ideals in a poset are characterized.