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Abstract. Let $L$ be a reduced, compactly generated multiplicative lattice in which 1 is compact and every finite product of compact elements is compact. In this setting we study quasiregular lattices (for every compact element $x\in L$, there exists a compact element $y\in L$ with $(0:(0:x))=(0:y))$, regular lattices (every compact element is complemented), and Baer lattices (for every compact element $x$, $(0:x)\vee(0:(0:x))=1)$.
AMS Subject Classification
(1991): 06F10, 06E99
Keyword(s):
quasiregular lattices,
Baer lattices,
multiplicative lattices,
compact elements
Received October 26, 1992 (Registered under 5572/2009.)
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