Prime and maximal ideals of partially ordered sets
Marcel Erné (2006)
Mathematica Slovaca
Similarity:
Displaying similar documents to “Prime Ideal Theorems and systems of finite character”
Prime and maximal ideals of partially ordered sets
Prime ideals yield almost maximal ideals
Andreas Blass (1987)
Fundamenta Mathematicae
Similarity:
Topological representations of distributive lattices and Brouwerian logics
Marshall Harvey Stone (1938)
Časopis pro pěstování matematiky a fysiky
Similarity:
Almost maximal ideals
P. Johnstone (1984)
Fundamenta Mathematicae
Similarity:
On prime ideals of
Attilio Le Donne (1977)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Prime ideals in 0-distributive posets
Vinayak Joshi, Nilesh Mundlik (2013)
Open Mathematics
Similarity:
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...