On prime ideals of
Attilio Le Donne (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Minimal prime ideals in autometrized algebras”
On prime ideals of
On annihilators of BCK-algebras
H. A. S. Abujabal, M. A. Obaid, M. Aslam, Allah-Bakhsh Thaheem (1995)
Czechoslovak Mathematical Journal
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Prime ideals in 0-distributive posets
Vinayak Joshi, Nilesh Mundlik (2013)
Open Mathematics
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In the first section of this paper, we prove an analogue of Stone’s Theorem for posets satisfying DCC by using semiprime ideals. We also prove the existence of prime ideals in atomic posets in which atoms are dually distributive. Further, it is proved that every maximal non-dense (non-principal) ideal of a 0-distributive poset (meet-semilattice) is prime. The second section focuses on the characterizations of (minimal) prime ideals in pseudocomplemented posets. The third section deals...
Primeness and semiprimeness in posets
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.